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Finding the Fourth Proportional to 24,001.24, 35,999.28 and 6,472.84

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Solution

The fourth proportional to 24,001.24, 35,999.28 and 6,472.84 is: 9,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001.24 : 35,999.28 = 6,472.84 : x
  2. Step 2: Convert to fraction form
    24,001.24/35,999.28 = 6,472.84/x
  3. Step 3: Cross multiply
    24,001.24x = 35,999.28 × 6,472.84
  4. Step 4: Simplify right side
    24,001.24x = 233,017,579.56
  5. Step 5: Solve for x
    x = 233,017,579.56/24,001.24
  6. Step 6: Final answer
    x = 9,708.56

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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.