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Finding the Fourth Proportional to 13,452.14, 18,564.67 and 7,402.69

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Solution

The fourth proportional to 13,452.14, 18,564.67 and 7,402.69 is: 10,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.14 : 18,564.67 = 7,402.69 : x
  2. Step 2: Convert to fraction form
    13,452.14/18,564.67 = 7,402.69/x
  3. Step 3: Cross multiply
    13,452.14x = 18,564.67 × 7,402.69
  4. Step 4: Simplify right side
    13,452.14x = 137,428,508.60
  5. Step 5: Solve for x
    x = 137,428,508.60/13,452.14
  6. Step 6: Final answer
    x = 10,216.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.