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Finding the Fourth Proportional to 16,465.50, 22,722.66 and 9,395.82

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Solution

The fourth proportional to 16,465.50, 22,722.66 and 9,395.82 is: 12,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.50 : 22,722.66 = 9,395.82 : x
  2. Step 2: Convert to fraction form
    16,465.50/22,722.66 = 9,395.82/x
  3. Step 3: Cross multiply
    16,465.50x = 22,722.66 × 9,395.82
  4. Step 4: Simplify right side
    16,465.50x = 213,498,023.28
  5. Step 5: Solve for x
    x = 213,498,023.28/16,465.50
  6. Step 6: Final answer
    x = 12,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.