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Finding the Fourth Proportional to 22,675.85, 31,287.84 and 13,721.57

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Solution

The fourth proportional to 22,675.85, 31,287.84 and 13,721.57 is: 18,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.85 : 31,287.84 = 13,721.57 : x
  2. Step 2: Convert to fraction form
    22,675.85/31,287.84 = 13,721.57/x
  3. Step 3: Cross multiply
    22,675.85x = 31,287.84 × 13,721.57
  4. Step 4: Simplify right side
    22,675.85x = 429,318,286.71
  5. Step 5: Solve for x
    x = 429,318,286.71/22,675.85
  6. Step 6: Final answer
    x = 18,932.84

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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.