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Finding the Fourth Proportional to 23,141.10, 34,712.99 and 6,502.43

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Solution

The fourth proportional to 23,141.10, 34,712.99 and 6,502.43 is: 9,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.10 : 34,712.99 = 6,502.43 : x
  2. Step 2: Convert to fraction form
    23,141.10/34,712.99 = 6,502.43/x
  3. Step 3: Cross multiply
    23,141.10x = 34,712.99 × 6,502.43
  4. Step 4: Simplify right side
    23,141.10x = 225,718,614.00
  5. Step 5: Solve for x
    x = 225,718,614.00/23,141.10
  6. Step 6: Final answer
    x = 9,754.02

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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.