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Finding the Fourth Proportional to 24,441.68, 36,664 and 6,912.84

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Solution

The fourth proportional to 24,441.68, 36,664 and 6,912.84 is: 10,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.68 : 36,664 = 6,912.84 : x
  2. Step 2: Convert to fraction form
    24,441.68/36,664 = 6,912.84/x
  3. Step 3: Cross multiply
    24,441.68x = 36,664 × 6,912.84
  4. Step 4: Simplify right side
    24,441.68x = 253,452,365.76
  5. Step 5: Solve for x
    x = 253,452,365.76/24,441.68
  6. Step 6: Final answer
    x = 10,369.68

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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.