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Finding the Fourth Proportional to 24,000.24, 35,997.78 and 6,471.84

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Solution

The fourth proportional to 24,000.24, 35,997.78 and 6,471.84 is: 9,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.24 : 35,997.78 = 6,471.84 : x
  2. Step 2: Convert to fraction form
    24,000.24/35,997.78 = 6,471.84/x
  3. Step 3: Cross multiply
    24,000.24x = 35,997.78 × 6,471.84
  4. Step 4: Simplify right side
    24,000.24x = 232,971,872.52
  5. Step 5: Solve for x
    x = 232,971,872.52/24,000.24
  6. Step 6: Final answer
    x = 9,707.06

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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.