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Finding the Fourth Proportional to 24,464.76, 36,685.57 and 9,478.89

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Solution

The fourth proportional to 24,464.76, 36,685.57 and 9,478.89 is: 14,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.76 : 36,685.57 = 9,478.89 : x
  2. Step 2: Convert to fraction form
    24,464.76/36,685.57 = 9,478.89/x
  3. Step 3: Cross multiply
    24,464.76x = 36,685.57 × 9,478.89
  4. Step 4: Simplify right side
    24,464.76x = 347,738,482.62
  5. Step 5: Solve for x
    x = 347,738,482.62/24,464.76
  6. Step 6: Final answer
    x = 14,213.85

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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.