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Finding the Fourth Proportional to 12,373.50, 17,078.16 and 9,679.38

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Solution

The fourth proportional to 12,373.50, 17,078.16 and 9,679.38 is: 13,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.50 : 17,078.16 = 9,679.38 : x
  2. Step 2: Convert to fraction form
    12,373.50/17,078.16 = 9,679.38/x
  3. Step 3: Cross multiply
    12,373.50x = 17,078.16 × 9,679.38
  4. Step 4: Simplify right side
    12,373.50x = 165,306,000.34
  5. Step 5: Solve for x
    x = 165,306,000.34/12,373.50
  6. Step 6: Final answer
    x = 13,359.68

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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.