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Finding the Fourth Proportional to 16,205.55, 22,364.82 and 9,035.97

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Solution

The fourth proportional to 16,205.55, 22,364.82 and 9,035.97 is: 12,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.55 : 22,364.82 = 9,035.97 : x
  2. Step 2: Convert to fraction form
    16,205.55/22,364.82 = 9,035.97/x
  3. Step 3: Cross multiply
    16,205.55x = 22,364.82 × 9,035.97
  4. Step 4: Simplify right side
    16,205.55x = 202,087,842.58
  5. Step 5: Solve for x
    x = 202,087,842.58/16,205.55
  6. Step 6: Final answer
    x = 12,470.29

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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.