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Finding the Fourth Proportional to 22,634.27, 31,238.99 and 12,565.96

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Solution

The fourth proportional to 22,634.27, 31,238.99 and 12,565.96 is: 17,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.27 : 31,238.99 = 12,565.96 : x
  2. Step 2: Convert to fraction form
    22,634.27/31,238.99 = 12,565.96/x
  3. Step 3: Cross multiply
    22,634.27x = 31,238.99 × 12,565.96
  4. Step 4: Simplify right side
    22,634.27x = 392,547,804.98
  5. Step 5: Solve for x
    x = 392,547,804.98/22,634.27
  6. Step 6: Final answer
    x = 17,343.07

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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.