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Finding the Fourth Proportional to 23,074.29, 31,842.54 and 12,463.92

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Solution

The fourth proportional to 23,074.29, 31,842.54 and 12,463.92 is: 17,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.29 : 31,842.54 = 12,463.92 : x
  2. Step 2: Convert to fraction form
    23,074.29/31,842.54 = 12,463.92/x
  3. Step 3: Cross multiply
    23,074.29x = 31,842.54 × 12,463.92
  4. Step 4: Simplify right side
    23,074.29x = 396,882,871.16
  5. Step 5: Solve for x
    x = 396,882,871.16/23,074.29
  6. Step 6: Final answer
    x = 17,200.22

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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.