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Finding the Fourth Proportional to 16,099.86, 22,217.61 and 9,026.13

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Solution

The fourth proportional to 16,099.86, 22,217.61 and 9,026.13 is: 12,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.86 : 22,217.61 = 9,026.13 : x
  2. Step 2: Convert to fraction form
    16,099.86/22,217.61 = 9,026.13/x
  3. Step 3: Cross multiply
    16,099.86x = 22,217.61 × 9,026.13
  4. Step 4: Simplify right side
    16,099.86x = 200,539,036.15
  5. Step 5: Solve for x
    x = 200,539,036.15/16,099.86
  6. Step 6: Final answer
    x = 12,455.95

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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.