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Finding the Fourth Proportional to 24,493.17, 36,735.62 and 9,498.09

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Solution

The fourth proportional to 24,493.17, 36,735.62 and 9,498.09 is: 14,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.17 : 36,735.62 = 9,498.09 : x
  2. Step 2: Convert to fraction form
    24,493.17/36,735.62 = 9,498.09/x
  3. Step 3: Cross multiply
    24,493.17x = 36,735.62 × 9,498.09
  4. Step 4: Simplify right side
    24,493.17x = 348,918,177.48
  5. Step 5: Solve for x
    x = 348,918,177.48/24,493.17
  6. Step 6: Final answer
    x = 14,245.53

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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.