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Finding the Fourth Proportional to 24,000.80, 35,984.12 and 9,197.20

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Solution

The fourth proportional to 24,000.80, 35,984.12 and 9,197.20 is: 13,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.80 : 35,984.12 = 9,197.20 : x
  2. Step 2: Convert to fraction form
    24,000.80/35,984.12 = 9,197.20/x
  3. Step 3: Cross multiply
    24,000.80x = 35,984.12 × 9,197.20
  4. Step 4: Simplify right side
    24,000.80x = 330,953,148.46
  5. Step 5: Solve for x
    x = 330,953,148.46/24,000.80
  6. Step 6: Final answer
    x = 13,789.25

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Similar ratio
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1.5x scale

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.