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Finding the Fourth Proportional to 24,354.90, 33,610.21 and 13,742.48

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Solution

The fourth proportional to 24,354.90, 33,610.21 and 13,742.48 is: 18,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,354.90 : 33,610.21 = 13,742.48 : x
  2. Step 2: Convert to fraction form
    24,354.90/33,610.21 = 13,742.48/x
  3. Step 3: Cross multiply
    24,354.90x = 33,610.21 × 13,742.48
  4. Step 4: Simplify right side
    24,354.90x = 461,887,688.39
  5. Step 5: Solve for x
    x = 461,887,688.39/24,354.90
  6. Step 6: Final answer
    x = 18,964.88

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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.