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Finding the Fourth Proportional to 24,542.10, 36,813.15 and 12,853.80

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Solution

The fourth proportional to 24,542.10, 36,813.15 and 12,853.80 is: 19,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.10 : 36,813.15 = 12,853.80 : x
  2. Step 2: Convert to fraction form
    24,542.10/36,813.15 = 12,853.80/x
  3. Step 3: Cross multiply
    24,542.10x = 36,813.15 × 12,853.80
  4. Step 4: Simplify right side
    24,542.10x = 473,188,867.47
  5. Step 5: Solve for x
    x = 473,188,867.47/24,542.10
  6. Step 6: Final answer
    x = 19,280.70

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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.