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Finding the Fourth Proportional to 18,102.29, 24,982.14 and 10,147.07

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Solution

The fourth proportional to 18,102.29, 24,982.14 and 10,147.07 is: 14,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.29 : 24,982.14 = 10,147.07 : x
  2. Step 2: Convert to fraction form
    18,102.29/24,982.14 = 10,147.07/x
  3. Step 3: Cross multiply
    18,102.29x = 24,982.14 × 10,147.07
  4. Step 4: Simplify right side
    18,102.29x = 253,495,398.42
  5. Step 5: Solve for x
    x = 253,495,398.42/18,102.29
  6. Step 6: Final answer
    x = 14,003.50

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