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Finding the Fourth Proportional to 24,425.30, 36,650.10 and 9,634.70

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Solution

The fourth proportional to 24,425.30, 36,650.10 and 9,634.70 is: 14,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.30 : 36,650.10 = 9,634.70 : x
  2. Step 2: Convert to fraction form
    24,425.30/36,650.10 = 9,634.70/x
  3. Step 3: Cross multiply
    24,425.30x = 36,650.10 × 9,634.70
  4. Step 4: Simplify right side
    24,425.30x = 353,112,718.47
  5. Step 5: Solve for x
    x = 353,112,718.47/24,425.30
  6. Step 6: Final answer
    x = 14,456.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.