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Finding the Fourth Proportional to 11,715.40, 17,548.48 and 8,000.20

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Solution

The fourth proportional to 11,715.40, 17,548.48 and 8,000.20 is: 11,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.40 : 17,548.48 = 8,000.20 : x
  2. Step 2: Convert to fraction form
    11,715.40/17,548.48 = 8,000.20/x
  3. Step 3: Cross multiply
    11,715.40x = 17,548.48 × 8,000.20
  4. Step 4: Simplify right side
    11,715.40x = 140,391,349.70
  5. Step 5: Solve for x
    x = 140,391,349.70/11,715.40
  6. Step 6: Final answer
    x = 11,983.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.