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Finding the Fourth Proportional to 10,032.50, 15,015.17 and 9,899.74

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Solution

The fourth proportional to 10,032.50, 15,015.17 and 9,899.74 is: 14,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.50 : 15,015.17 = 9,899.74 : x
  2. Step 2: Convert to fraction form
    10,032.50/15,015.17 = 9,899.74/x
  3. Step 3: Cross multiply
    10,032.50x = 15,015.17 × 9,899.74
  4. Step 4: Simplify right side
    10,032.50x = 148,646,279.06
  5. Step 5: Solve for x
    x = 148,646,279.06/10,032.50
  6. Step 6: Final answer
    x = 14,816.47

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