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Finding the Fourth Proportional to 13,988.06, 20,982.12 and 3,599

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Solution

The fourth proportional to 13,988.06, 20,982.12 and 3,599 is: 5,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.06 : 20,982.12 = 3,599 : x
  2. Step 2: Convert to fraction form
    13,988.06/20,982.12 = 3,599/x
  3. Step 3: Cross multiply
    13,988.06x = 20,982.12 × 3,599
  4. Step 4: Simplify right side
    13,988.06x = 75,514,649.88
  5. Step 5: Solve for x
    x = 75,514,649.88/13,988.06
  6. Step 6: Final answer
    x = 5,398.51

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