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Finding the Fourth Proportional to 16,243.25, 22,415.70 and 9,169.52

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Solution

The fourth proportional to 16,243.25, 22,415.70 and 9,169.52 is: 12,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.25 : 22,415.70 = 9,169.52 : x
  2. Step 2: Convert to fraction form
    16,243.25/22,415.70 = 9,169.52/x
  3. Step 3: Cross multiply
    16,243.25x = 22,415.70 × 9,169.52
  4. Step 4: Simplify right side
    16,243.25x = 205,541,209.46
  5. Step 5: Solve for x
    x = 205,541,209.46/16,243.25
  6. Step 6: Final answer
    x = 12,653.95

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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.