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Finding the Fourth Proportional to 24,342.59, 33,592.87 and 13,164.59

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Solution

The fourth proportional to 24,342.59, 33,592.87 and 13,164.59 is: 18,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.59 : 33,592.87 = 13,164.59 : x
  2. Step 2: Convert to fraction form
    24,342.59/33,592.87 = 13,164.59/x
  3. Step 3: Cross multiply
    24,342.59x = 33,592.87 × 13,164.59
  4. Step 4: Simplify right side
    24,342.59x = 442,236,247.27
  5. Step 5: Solve for x
    x = 442,236,247.27/24,342.59
  6. Step 6: Final answer
    x = 18,167.18

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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.