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Finding the Fourth Proportional to 16,277.92, 22,464 and 9,204.19

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Solution

The fourth proportional to 16,277.92, 22,464 and 9,204.19 is: 12,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.92 : 22,464 = 9,204.19 : x
  2. Step 2: Convert to fraction form
    16,277.92/22,464 = 9,204.19/x
  3. Step 3: Cross multiply
    16,277.92x = 22,464 × 9,204.19
  4. Step 4: Simplify right side
    16,277.92x = 206,762,868
  5. Step 5: Solve for x
    x = 206,762,868/16,277.92
  6. Step 6: Final answer
    x = 12,702.05

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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.