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Finding the Fourth Proportional to 16,099.68, 22,215.84 and 9,024.48

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Solution

The fourth proportional to 16,099.68, 22,215.84 and 9,024.48 is: 12,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.68 : 22,215.84 = 9,024.48 : x
  2. Step 2: Convert to fraction form
    16,099.68/22,215.84 = 9,024.48/x
  3. Step 3: Cross multiply
    16,099.68x = 22,215.84 × 9,024.48
  4. Step 4: Simplify right side
    16,099.68x = 200,486,403.76
  5. Step 5: Solve for x
    x = 200,486,403.76/16,099.68
  6. Step 6: Final answer
    x = 12,452.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.