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Finding the Fourth Proportional to 12,676.18, 17,499.24 and 8,434.30

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Solution

The fourth proportional to 12,676.18, 17,499.24 and 8,434.30 is: 11,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.18 : 17,499.24 = 8,434.30 : x
  2. Step 2: Convert to fraction form
    12,676.18/17,499.24 = 8,434.30/x
  3. Step 3: Cross multiply
    12,676.18x = 17,499.24 × 8,434.30
  4. Step 4: Simplify right side
    12,676.18x = 147,593,839.93
  5. Step 5: Solve for x
    x = 147,593,839.93/12,676.18
  6. Step 6: Final answer
    x = 11,643.40

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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.