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Finding the Fourth Proportional to 13,402.25, 20,104.17 and 4,516.84

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Solution

The fourth proportional to 13,402.25, 20,104.17 and 4,516.84 is: 6,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.25 : 20,104.17 = 4,516.84 : x
  2. Step 2: Convert to fraction form
    13,402.25/20,104.17 = 4,516.84/x
  3. Step 3: Cross multiply
    13,402.25x = 20,104.17 × 4,516.84
  4. Step 4: Simplify right side
    13,402.25x = 90,807,319.22
  5. Step 5: Solve for x
    x = 90,807,319.22/13,402.25
  6. Step 6: Final answer
    x = 6,775.53

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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.