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Finding the Fourth Proportional to 22,565.40, 31,137.07 and 12,494.43

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Solution

The fourth proportional to 22,565.40, 31,137.07 and 12,494.43 is: 17,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.40 : 31,137.07 = 12,494.43 : x
  2. Step 2: Convert to fraction form
    22,565.40/31,137.07 = 12,494.43/x
  3. Step 3: Cross multiply
    22,565.40x = 31,137.07 × 12,494.43
  4. Step 4: Simplify right side
    22,565.40x = 389,040,060.75
  5. Step 5: Solve for x
    x = 389,040,060.75/22,565.40
  6. Step 6: Final answer
    x = 17,240.56

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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.