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Finding the Fourth Proportional to 24,443.40, 36,665.08 and 8,660

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Solution

The fourth proportional to 24,443.40, 36,665.08 and 8,660 is: 12,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.40 : 36,665.08 = 8,660 : x
  2. Step 2: Convert to fraction form
    24,443.40/36,665.08 = 8,660/x
  3. Step 3: Cross multiply
    24,443.40x = 36,665.08 × 8,660
  4. Step 4: Simplify right side
    24,443.40x = 317,519,592.80
  5. Step 5: Solve for x
    x = 317,519,592.80/24,443.40
  6. Step 6: Final answer
    x = 12,989.99

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Why These Related Problems?

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