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Finding the Fourth Proportional to 24,299.76, 33,531.66 and 13,692

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Solution

The fourth proportional to 24,299.76, 33,531.66 and 13,692 is: 18,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299.76 : 33,531.66 = 13,692 : x
  2. Step 2: Convert to fraction form
    24,299.76/33,531.66 = 13,692/x
  3. Step 3: Cross multiply
    24,299.76x = 33,531.66 × 13,692
  4. Step 4: Simplify right side
    24,299.76x = 459,115,488.72
  5. Step 5: Solve for x
    x = 459,115,488.72/24,299.76
  6. Step 6: Final answer
    x = 18,893.83

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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.