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Finding the Fourth Proportional to 16,177.69, 22,326.12 and 9,104.57

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Solution

The fourth proportional to 16,177.69, 22,326.12 and 9,104.57 is: 12,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.69 : 22,326.12 = 9,104.57 : x
  2. Step 2: Convert to fraction form
    16,177.69/22,326.12 = 9,104.57/x
  3. Step 3: Cross multiply
    16,177.69x = 22,326.12 × 9,104.57
  4. Step 4: Simplify right side
    16,177.69x = 203,269,610.74
  5. Step 5: Solve for x
    x = 203,269,610.74/16,177.69
  6. Step 6: Final answer
    x = 12,564.81

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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.