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Finding the Fourth Proportional to 24,543.60, 36,815.40 and 12,855.30

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Solution

The fourth proportional to 24,543.60, 36,815.40 and 12,855.30 is: 19,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.60 : 36,815.40 = 12,855.30 : x
  2. Step 2: Convert to fraction form
    24,543.60/36,815.40 = 12,855.30/x
  3. Step 3: Cross multiply
    24,543.60x = 36,815.40 × 12,855.30
  4. Step 4: Simplify right side
    24,543.60x = 473,273,011.62
  5. Step 5: Solve for x
    x = 473,273,011.62/24,543.60
  6. Step 6: Final answer
    x = 19,282.95

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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.