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Finding the Fourth Proportional to 24,342.42, 33,592.50 and 13,164.42

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Solution

The fourth proportional to 24,342.42, 33,592.50 and 13,164.42 is: 18,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.42 : 33,592.50 = 13,164.42 : x
  2. Step 2: Convert to fraction form
    24,342.42/33,592.50 = 13,164.42/x
  3. Step 3: Cross multiply
    24,342.42x = 33,592.50 × 13,164.42
  4. Step 4: Simplify right side
    24,342.42x = 442,225,778.85
  5. Step 5: Solve for x
    x = 442,225,778.85/24,342.42
  6. Step 6: Final answer
    x = 18,166.88

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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.