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Finding the Fourth Proportional to 10,921,716.40, 16,414,067.40 and 9,536,033.20

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Solution

The fourth proportional to 10,921,716.40, 16,414,067.40 and 9,536,033.20 is: 14,331,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921,716.40 : 16,414,067.40 = 9,536,033.20 : x
  2. Step 2: Convert to fraction form
    10,921,716.40/16,414,067.40 = 9,536,033.20/x
  3. Step 3: Cross multiply
    10,921,716.40x = 16,414,067.40 × 9,536,033.20
  4. Step 4: Simplify right side
    10,921,716.40x = 156,525,091,673,437.66
  5. Step 5: Solve for x
    x = 156,525,091,673,437.66/10,921,716.40
  6. Step 6: Final answer
    x = 14,331,546.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.