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Finding the Fourth Proportional to 12,178.56, 16,791.12 and 9,938.16

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Solution

The fourth proportional to 12,178.56, 16,791.12 and 9,938.16 is: 13,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.56 : 16,791.12 = 9,938.16 : x
  2. Step 2: Convert to fraction form
    12,178.56/16,791.12 = 9,938.16/x
  3. Step 3: Cross multiply
    12,178.56x = 16,791.12 × 9,938.16
  4. Step 4: Simplify right side
    12,178.56x = 166,872,837.14
  5. Step 5: Solve for x
    x = 166,872,837.14/12,178.56
  6. Step 6: Final answer
    x = 13,702.18

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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.