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Finding the Fourth Proportional to 24,423.80, 36,635.76 and 6,893.62

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Solution

The fourth proportional to 24,423.80, 36,635.76 and 6,893.62 is: 10,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.80 : 36,635.76 = 6,893.62 : x
  2. Step 2: Convert to fraction form
    24,423.80/36,635.76 = 6,893.62/x
  3. Step 3: Cross multiply
    24,423.80x = 36,635.76 × 6,893.62
  4. Step 4: Simplify right side
    24,423.80x = 252,553,007.85
  5. Step 5: Solve for x
    x = 252,553,007.85/24,423.80
  6. Step 6: Final answer
    x = 10,340.45

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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.