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Finding the Fourth Proportional to 24,362.40, 36,543.52 and 8,780

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Solution

The fourth proportional to 24,362.40, 36,543.52 and 8,780 is: 13,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.40 : 36,543.52 = 8,780 : x
  2. Step 2: Convert to fraction form
    24,362.40/36,543.52 = 8,780/x
  3. Step 3: Cross multiply
    24,362.40x = 36,543.52 × 8,780
  4. Step 4: Simplify right side
    24,362.40x = 320,852,105.60
  5. Step 5: Solve for x
    x = 320,852,105.60/24,362.40
  6. Step 6: Final answer
    x = 13,169.97

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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.