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Finding the Fourth Proportional to 16,074.18, 22,184.73 and 9,785.38

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Solution

The fourth proportional to 16,074.18, 22,184.73 and 9,785.38 is: 13,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.18 : 22,184.73 = 9,785.38 : x
  2. Step 2: Convert to fraction form
    16,074.18/22,184.73 = 9,785.38/x
  3. Step 3: Cross multiply
    16,074.18x = 22,184.73 × 9,785.38
  4. Step 4: Simplify right side
    16,074.18x = 217,086,013.25
  5. Step 5: Solve for x
    x = 217,086,013.25/16,074.18
  6. Step 6: Final answer
    x = 13,505.26

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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.