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Finding the Fourth Proportional to 13,646.54, 20,469.17 and 5,328.07

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Solution

The fourth proportional to 13,646.54, 20,469.17 and 5,328.07 is: 7,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.54 : 20,469.17 = 5,328.07 : x
  2. Step 2: Convert to fraction form
    13,646.54/20,469.17 = 5,328.07/x
  3. Step 3: Cross multiply
    13,646.54x = 20,469.17 × 5,328.07
  4. Step 4: Simplify right side
    13,646.54x = 109,061,132.75
  5. Step 5: Solve for x
    x = 109,061,132.75/13,646.54
  6. Step 6: Final answer
    x = 7,991.85

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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.