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Finding the Fourth Proportional to 24,577.68, 36,855.72 and 7,043.52

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Solution

The fourth proportional to 24,577.68, 36,855.72 and 7,043.52 is: 10,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.68 : 36,855.72 = 7,043.52 : x
  2. Step 2: Convert to fraction form
    24,577.68/36,855.72 = 7,043.52/x
  3. Step 3: Cross multiply
    24,577.68x = 36,855.72 × 7,043.52
  4. Step 4: Simplify right side
    24,577.68x = 259,594,000.93
  5. Step 5: Solve for x
    x = 259,594,000.93/24,577.68
  6. Step 6: Final answer
    x = 10,562.18

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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.