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Finding the Fourth Proportional to 16,290.11, 22,480.82 and 9,216.38

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Solution

The fourth proportional to 16,290.11, 22,480.82 and 9,216.38 is: 12,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.11 : 22,480.82 = 9,216.38 : x
  2. Step 2: Convert to fraction form
    16,290.11/22,480.82 = 9,216.38/x
  3. Step 3: Cross multiply
    16,290.11x = 22,480.82 × 9,216.38
  4. Step 4: Simplify right side
    16,290.11x = 207,191,621.35
  5. Step 5: Solve for x
    x = 207,191,621.35/16,290.11
  6. Step 6: Final answer
    x = 12,718.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.