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Finding the Fourth Proportional to 24,262.48, 36,335.40 and 13,842.64

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Solution

The fourth proportional to 24,262.48, 36,335.40 and 13,842.64 is: 20,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.48 : 36,335.40 = 13,842.64 : x
  2. Step 2: Convert to fraction form
    24,262.48/36,335.40 = 13,842.64/x
  3. Step 3: Cross multiply
    24,262.48x = 36,335.40 × 13,842.64
  4. Step 4: Simplify right side
    24,262.48x = 502,977,861.46
  5. Step 5: Solve for x
    x = 502,977,861.46/24,262.48
  6. Step 6: Final answer
    x = 20,730.69

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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.