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Finding the Fourth Proportional to 16,153.74, 22,286.52 and 9,078.66

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Solution

The fourth proportional to 16,153.74, 22,286.52 and 9,078.66 is: 12,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.74 : 22,286.52 = 9,078.66 : x
  2. Step 2: Convert to fraction form
    16,153.74/22,286.52 = 9,078.66/x
  3. Step 3: Cross multiply
    16,153.74x = 22,286.52 × 9,078.66
  4. Step 4: Simplify right side
    16,153.74x = 202,331,737.66
  5. Step 5: Solve for x
    x = 202,331,737.66/16,153.74
  6. Step 6: Final answer
    x = 12,525.38

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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.