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Finding the Fourth Proportional to 12,697.20, 17,505.48 and 8,711.40

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Solution

The fourth proportional to 12,697.20, 17,505.48 and 8,711.40 is: 12,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.20 : 17,505.48 = 8,711.40 : x
  2. Step 2: Convert to fraction form
    12,697.20/17,505.48 = 8,711.40/x
  3. Step 3: Cross multiply
    12,697.20x = 17,505.48 × 8,711.40
  4. Step 4: Simplify right side
    12,697.20x = 152,497,238.47
  5. Step 5: Solve for x
    x = 152,497,238.47/12,697.20
  6. Step 6: Final answer
    x = 12,010.30

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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.