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Finding the Fourth Proportional to 13,419.64, 20,127.92 and 3,559.68

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Solution

The fourth proportional to 13,419.64, 20,127.92 and 3,559.68 is: 5,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.64 : 20,127.92 = 3,559.68 : x
  2. Step 2: Convert to fraction form
    13,419.64/20,127.92 = 3,559.68/x
  3. Step 3: Cross multiply
    13,419.64x = 20,127.92 × 3,559.68
  4. Step 4: Simplify right side
    13,419.64x = 71,649,031.39
  5. Step 5: Solve for x
    x = 71,649,031.39/13,419.64
  6. Step 6: Final answer
    x = 5,339.12

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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.