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Finding the Fourth Proportional to 11,310.40, 16,933.20 and 10,014.40

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Solution

The fourth proportional to 11,310.40, 16,933.20 and 10,014.40 is: 14,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.40 : 16,933.20 = 10,014.40 : x
  2. Step 2: Convert to fraction form
    11,310.40/16,933.20 = 10,014.40/x
  3. Step 3: Cross multiply
    11,310.40x = 16,933.20 × 10,014.40
  4. Step 4: Simplify right side
    11,310.40x = 169,575,838.08
  5. Step 5: Solve for x
    x = 169,575,838.08/11,310.40
  6. Step 6: Final answer
    x = 14,992.91

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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.