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Finding the Fourth Proportional to 14,202.95, 19,596.13 and 9,167.38

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Solution

The fourth proportional to 14,202.95, 19,596.13 and 9,167.38 is: 12,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.95 : 19,596.13 = 9,167.38 : x
  2. Step 2: Convert to fraction form
    14,202.95/19,596.13 = 9,167.38/x
  3. Step 3: Cross multiply
    14,202.95x = 19,596.13 × 9,167.38
  4. Step 4: Simplify right side
    14,202.95x = 179,645,098.33
  5. Step 5: Solve for x
    x = 179,645,098.33/14,202.95
  6. Step 6: Final answer
    x = 12,648.44

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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.