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Finding the Fourth Proportional to 16,277.86, 22,465.52 and 9,204.13

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Solution

The fourth proportional to 16,277.86, 22,465.52 and 9,204.13 is: 12,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.86 : 22,465.52 = 9,204.13 : x
  2. Step 2: Convert to fraction form
    16,277.86/22,465.52 = 9,204.13/x
  3. Step 3: Cross multiply
    16,277.86x = 22,465.52 × 9,204.13
  4. Step 4: Simplify right side
    16,277.86x = 206,775,566.60
  5. Step 5: Solve for x
    x = 206,775,566.60/16,277.86
  6. Step 6: Final answer
    x = 12,702.87

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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.