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Finding the Fourth Proportional to 13,597.01, 20,387.31 and 6,099.20

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Solution

The fourth proportional to 13,597.01, 20,387.31 and 6,099.20 is: 9,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.01 : 20,387.31 = 6,099.20 : x
  2. Step 2: Convert to fraction form
    13,597.01/20,387.31 = 6,099.20/x
  3. Step 3: Cross multiply
    13,597.01x = 20,387.31 × 6,099.20
  4. Step 4: Simplify right side
    13,597.01x = 124,346,281.15
  5. Step 5: Solve for x
    x = 124,346,281.15/13,597.01
  6. Step 6: Final answer
    x = 9,145.12

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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.