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Finding the Fourth Proportional to 24,511.48, 36,766 and 7,872.33

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Solution

The fourth proportional to 24,511.48, 36,766 and 7,872.33 is: 11,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.48 : 36,766 = 7,872.33 : x
  2. Step 2: Convert to fraction form
    24,511.48/36,766 = 7,872.33/x
  3. Step 3: Cross multiply
    24,511.48x = 36,766 × 7,872.33
  4. Step 4: Simplify right side
    24,511.48x = 289,434,084.78
  5. Step 5: Solve for x
    x = 289,434,084.78/24,511.48
  6. Step 6: Final answer
    x = 11,808.10

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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.