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Finding the Fourth Proportional to 24,819.80, 37,216.90 and 9,229.40

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Solution

The fourth proportional to 24,819.80, 37,216.90 and 9,229.40 is: 13,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.80 : 37,216.90 = 9,229.40 : x
  2. Step 2: Convert to fraction form
    24,819.80/37,216.90 = 9,229.40/x
  3. Step 3: Cross multiply
    24,819.80x = 37,216.90 × 9,229.40
  4. Step 4: Simplify right side
    24,819.80x = 343,489,656.86
  5. Step 5: Solve for x
    x = 343,489,656.86/24,819.80
  6. Step 6: Final answer
    x = 13,839.34

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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.