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Finding the Fourth Proportional to 22,543.68, 31,108.32 and 12,471.96

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Solution

The fourth proportional to 22,543.68, 31,108.32 and 12,471.96 is: 17,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.68 : 31,108.32 = 12,471.96 : x
  2. Step 2: Convert to fraction form
    22,543.68/31,108.32 = 12,471.96/x
  3. Step 3: Cross multiply
    22,543.68x = 31,108.32 × 12,471.96
  4. Step 4: Simplify right side
    22,543.68x = 387,981,722.71
  5. Step 5: Solve for x
    x = 387,981,722.71/22,543.68
  6. Step 6: Final answer
    x = 17,210.22

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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.