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Finding the Fourth Proportional to 13,023.59, 19,540.85 and 5,624.24

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Solution

The fourth proportional to 13,023.59, 19,540.85 and 5,624.24 is: 8,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.59 : 19,540.85 = 5,624.24 : x
  2. Step 2: Convert to fraction form
    13,023.59/19,540.85 = 5,624.24/x
  3. Step 3: Cross multiply
    13,023.59x = 19,540.85 × 5,624.24
  4. Step 4: Simplify right side
    13,023.59x = 109,902,304.38
  5. Step 5: Solve for x
    x = 109,902,304.38/13,023.59
  6. Step 6: Final answer
    x = 8,438.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.