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Finding the Fourth Proportional to 22,565.98, 31,139.87 and 12,494.24

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Solution

The fourth proportional to 22,565.98, 31,139.87 and 12,494.24 is: 17,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.98 : 31,139.87 = 12,494.24 : x
  2. Step 2: Convert to fraction form
    22,565.98/31,139.87 = 12,494.24/x
  3. Step 3: Cross multiply
    22,565.98x = 31,139.87 × 12,494.24
  4. Step 4: Simplify right side
    22,565.98x = 389,069,009.35
  5. Step 5: Solve for x
    x = 389,069,009.35/22,565.98
  6. Step 6: Final answer
    x = 17,241.40

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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.