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Finding the Fourth Proportional to 24,431.68, 36,643.20 and 6,896.80

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Solution

The fourth proportional to 24,431.68, 36,643.20 and 6,896.80 is: 10,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.68 : 36,643.20 = 6,896.80 : x
  2. Step 2: Convert to fraction form
    24,431.68/36,643.20 = 6,896.80/x
  3. Step 3: Cross multiply
    24,431.68x = 36,643.20 × 6,896.80
  4. Step 4: Simplify right side
    24,431.68x = 252,720,821.76
  5. Step 5: Solve for x
    x = 252,720,821.76/24,431.68
  6. Step 6: Final answer
    x = 10,343.98

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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.