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Finding the Fourth Proportional to 22,633.62, 31,233.84 and 12,561.87

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Solution

The fourth proportional to 22,633.62, 31,233.84 and 12,561.87 is: 17,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.62 : 31,233.84 = 12,561.87 : x
  2. Step 2: Convert to fraction form
    22,633.62/31,233.84 = 12,561.87/x
  3. Step 3: Cross multiply
    22,633.62x = 31,233.84 × 12,561.87
  4. Step 4: Simplify right side
    22,633.62x = 392,355,437.68
  5. Step 5: Solve for x
    x = 392,355,437.68/22,633.62
  6. Step 6: Final answer
    x = 17,335.07

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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.