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Finding the Fourth Proportional to 22,567, 31,142.50 and 13,141.88

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Solution

The fourth proportional to 22,567, 31,142.50 and 13,141.88 is: 18,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567 : 31,142.50 = 13,141.88 : x
  2. Step 2: Convert to fraction form
    22,567/31,142.50 = 13,141.88/x
  3. Step 3: Cross multiply
    22,567x = 31,142.50 × 13,141.88
  4. Step 4: Simplify right side
    22,567x = 409,270,997.90
  5. Step 5: Solve for x
    x = 409,270,997.90/22,567
  6. Step 6: Final answer
    x = 18,135.82

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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.