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Finding the Fourth Proportional to 24,142.52, 33,317.71 and 13,532.16

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Solution

The fourth proportional to 24,142.52, 33,317.71 and 13,532.16 is: 18,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.52 : 33,317.71 = 13,532.16 : x
  2. Step 2: Convert to fraction form
    24,142.52/33,317.71 = 13,532.16/x
  3. Step 3: Cross multiply
    24,142.52x = 33,317.71 × 13,532.16
  4. Step 4: Simplify right side
    24,142.52x = 450,860,423.78
  5. Step 5: Solve for x
    x = 450,860,423.78/24,142.52
  6. Step 6: Final answer
    x = 18,674.95

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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.