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Finding the Fourth Proportional to 20,498.88, 30,740.16 and 7,347.20

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Solution

The fourth proportional to 20,498.88, 30,740.16 and 7,347.20 is: 11,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.88 : 30,740.16 = 7,347.20 : x
  2. Step 2: Convert to fraction form
    20,498.88/30,740.16 = 7,347.20/x
  3. Step 3: Cross multiply
    20,498.88x = 30,740.16 × 7,347.20
  4. Step 4: Simplify right side
    20,498.88x = 225,854,103.55
  5. Step 5: Solve for x
    x = 225,854,103.55/20,498.88
  6. Step 6: Final answer
    x = 11,017.88

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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.