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Finding the Fourth Proportional to 24,496.80, 36,734.40 and 9,700.80

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Solution

The fourth proportional to 24,496.80, 36,734.40 and 9,700.80 is: 14,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.80 : 36,734.40 = 9,700.80 : x
  2. Step 2: Convert to fraction form
    24,496.80/36,734.40 = 9,700.80/x
  3. Step 3: Cross multiply
    24,496.80x = 36,734.40 × 9,700.80
  4. Step 4: Simplify right side
    24,496.80x = 356,353,067.52
  5. Step 5: Solve for x
    x = 356,353,067.52/24,496.80
  6. Step 6: Final answer
    x = 14,546.92

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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.