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Finding the Fourth Proportional to 24,072.25, 36,141.12 and 13,549.70

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Solution

The fourth proportional to 24,072.25, 36,141.12 and 13,549.70 is: 20,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072.25 : 36,141.12 = 13,549.70 : x
  2. Step 2: Convert to fraction form
    24,072.25/36,141.12 = 13,549.70/x
  3. Step 3: Cross multiply
    24,072.25x = 36,141.12 × 13,549.70
  4. Step 4: Simplify right side
    24,072.25x = 489,701,333.66
  5. Step 5: Solve for x
    x = 489,701,333.66/24,072.25
  6. Step 6: Final answer
    x = 20,342.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.