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Finding the Fourth Proportional to 24,102.31, 36,152.40 and 6,572.14

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Solution

The fourth proportional to 24,102.31, 36,152.40 and 6,572.14 is: 9,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.31 : 36,152.40 = 6,572.14 : x
  2. Step 2: Convert to fraction form
    24,102.31/36,152.40 = 6,572.14/x
  3. Step 3: Cross multiply
    24,102.31x = 36,152.40 × 6,572.14
  4. Step 4: Simplify right side
    24,102.31x = 237,598,634.14
  5. Step 5: Solve for x
    x = 237,598,634.14/24,102.31
  6. Step 6: Final answer
    x = 9,857.92

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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.