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Finding the Fourth Proportional to 24,230.42, 36,354.75 and 8,436.64

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Solution

The fourth proportional to 24,230.42, 36,354.75 and 8,436.64 is: 12,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.42 : 36,354.75 = 8,436.64 : x
  2. Step 2: Convert to fraction form
    24,230.42/36,354.75 = 8,436.64/x
  3. Step 3: Cross multiply
    24,230.42x = 36,354.75 × 8,436.64
  4. Step 4: Simplify right side
    24,230.42x = 306,711,847.15
  5. Step 5: Solve for x
    x = 306,711,847.15/24,230.42
  6. Step 6: Final answer
    x = 12,658.13

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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.