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Finding the Fourth Proportional to 15,116.38, 20,869.94 and 9,740.71

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Solution

The fourth proportional to 15,116.38, 20,869.94 and 9,740.71 is: 13,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.38 : 20,869.94 = 9,740.71 : x
  2. Step 2: Convert to fraction form
    15,116.38/20,869.94 = 9,740.71/x
  3. Step 3: Cross multiply
    15,116.38x = 20,869.94 × 9,740.71
  4. Step 4: Simplify right side
    15,116.38x = 203,288,128.70
  5. Step 5: Solve for x
    x = 203,288,128.70/15,116.38
  6. Step 6: Final answer
    x = 13,448.20

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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.