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Finding the Fourth Proportional to 24,435.50, 36,616.80 and 15,663.20

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Solution

The fourth proportional to 24,435.50, 36,616.80 and 15,663.20 is: 23,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.50 : 36,616.80 = 15,663.20 : x
  2. Step 2: Convert to fraction form
    24,435.50/36,616.80 = 15,663.20/x
  3. Step 3: Cross multiply
    24,435.50x = 36,616.80 × 15,663.20
  4. Step 4: Simplify right side
    24,435.50x = 573,536,261.76
  5. Step 5: Solve for x
    x = 573,536,261.76/24,435.50
  6. Step 6: Final answer
    x = 23,471.44

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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.