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Finding the Fourth Proportional to 24,793.12, 34,214.40 and 13,614.88

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Solution

The fourth proportional to 24,793.12, 34,214.40 and 13,614.88 is: 18,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.12 : 34,214.40 = 13,614.88 : x
  2. Step 2: Convert to fraction form
    24,793.12/34,214.40 = 13,614.88/x
  3. Step 3: Cross multiply
    24,793.12x = 34,214.40 × 13,614.88
  4. Step 4: Simplify right side
    24,793.12x = 465,824,950.27
  5. Step 5: Solve for x
    x = 465,824,950.27/24,793.12
  6. Step 6: Final answer
    x = 18,788.48

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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.