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Finding the Fourth Proportional to 22,665.72, 31,281.22 and 13,713.60

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Solution

The fourth proportional to 22,665.72, 31,281.22 and 13,713.60 is: 18,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.72 : 31,281.22 = 13,713.60 : x
  2. Step 2: Convert to fraction form
    22,665.72/31,281.22 = 13,713.60/x
  3. Step 3: Cross multiply
    22,665.72x = 31,281.22 × 13,713.60
  4. Step 4: Simplify right side
    22,665.72x = 428,978,138.59
  5. Step 5: Solve for x
    x = 428,978,138.59/22,665.72
  6. Step 6: Final answer
    x = 18,926.30

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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.