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Finding the Fourth Proportional to 13,597.04, 20,393.24 and 3,734

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Solution

The fourth proportional to 13,597.04, 20,393.24 and 3,734 is: 5,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.04 : 20,393.24 = 3,734 : x
  2. Step 2: Convert to fraction form
    13,597.04/20,393.24 = 3,734/x
  3. Step 3: Cross multiply
    13,597.04x = 20,393.24 × 3,734
  4. Step 4: Simplify right side
    13,597.04x = 76,148,358.16
  5. Step 5: Solve for x
    x = 76,148,358.16/13,597.04
  6. Step 6: Final answer
    x = 5,600.36

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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.