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Finding the Fourth Proportional to 22,543.32, 31,109.49 and 12,471

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Solution

The fourth proportional to 22,543.32, 31,109.49 and 12,471 is: 17,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.32 : 31,109.49 = 12,471 : x
  2. Step 2: Convert to fraction form
    22,543.32/31,109.49 = 12,471/x
  3. Step 3: Cross multiply
    22,543.32x = 31,109.49 × 12,471
  4. Step 4: Simplify right side
    22,543.32x = 387,966,449.79
  5. Step 5: Solve for x
    x = 387,966,449.79/22,543.32
  6. Step 6: Final answer
    x = 17,209.82

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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.