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Finding the Fourth Proportional to 20,098.95, 30,145.80 and 5,308.98

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Solution

The fourth proportional to 20,098.95, 30,145.80 and 5,308.98 is: 7,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.95 : 30,145.80 = 5,308.98 : x
  2. Step 2: Convert to fraction form
    20,098.95/30,145.80 = 5,308.98/x
  3. Step 3: Cross multiply
    20,098.95x = 30,145.80 × 5,308.98
  4. Step 4: Simplify right side
    20,098.95x = 160,043,449.28
  5. Step 5: Solve for x
    x = 160,043,449.28/20,098.95
  6. Step 6: Final answer
    x = 7,962.78

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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.