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Finding the Fourth Proportional to 24,443.60, 36,658.20 and 9,647.60

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Solution

The fourth proportional to 24,443.60, 36,658.20 and 9,647.60 is: 14,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.60 : 36,658.20 = 9,647.60 : x
  2. Step 2: Convert to fraction form
    24,443.60/36,658.20 = 9,647.60/x
  3. Step 3: Cross multiply
    24,443.60x = 36,658.20 × 9,647.60
  4. Step 4: Simplify right side
    24,443.60x = 353,663,650.32
  5. Step 5: Solve for x
    x = 353,663,650.32/24,443.60
  6. Step 6: Final answer
    x = 14,468.56

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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.