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Finding the Fourth Proportional to 24,289.44, 36,439.28 and 7,654.20

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Solution

The fourth proportional to 24,289.44, 36,439.28 and 7,654.20 is: 11,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.44 : 36,439.28 = 7,654.20 : x
  2. Step 2: Convert to fraction form
    24,289.44/36,439.28 = 7,654.20/x
  3. Step 3: Cross multiply
    24,289.44x = 36,439.28 × 7,654.20
  4. Step 4: Simplify right side
    24,289.44x = 278,913,536.98
  5. Step 5: Solve for x
    x = 278,913,536.98/24,289.44
  6. Step 6: Final answer
    x = 11,482.91

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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.