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Finding the Fourth Proportional to 24,471.20, 36,706.80 and 10,647.20

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Solution

The fourth proportional to 24,471.20, 36,706.80 and 10,647.20 is: 15,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.20 : 36,706.80 = 10,647.20 : x
  2. Step 2: Convert to fraction form
    24,471.20/36,706.80 = 10,647.20/x
  3. Step 3: Cross multiply
    24,471.20x = 36,706.80 × 10,647.20
  4. Step 4: Simplify right side
    24,471.20x = 390,824,640.96
  5. Step 5: Solve for x
    x = 390,824,640.96/24,471.20
  6. Step 6: Final answer
    x = 15,970.80

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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.