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Finding the Fourth Proportional to 24,423.30, 36,647.10 and 9,632.70

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Solution

The fourth proportional to 24,423.30, 36,647.10 and 9,632.70 is: 14,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.30 : 36,647.10 = 9,632.70 : x
  2. Step 2: Convert to fraction form
    24,423.30/36,647.10 = 9,632.70/x
  3. Step 3: Cross multiply
    24,423.30x = 36,647.10 × 9,632.70
  4. Step 4: Simplify right side
    24,423.30x = 353,010,520.17
  5. Step 5: Solve for x
    x = 353,010,520.17/24,423.30
  6. Step 6: Final answer
    x = 14,453.84

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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.