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Finding the Fourth Proportional to 13,548.97, 20,329.29 and 5,234.84

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Solution

The fourth proportional to 13,548.97, 20,329.29 and 5,234.84 is: 7,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.97 : 20,329.29 = 5,234.84 : x
  2. Step 2: Convert to fraction form
    13,548.97/20,329.29 = 5,234.84/x
  3. Step 3: Cross multiply
    13,548.97x = 20,329.29 × 5,234.84
  4. Step 4: Simplify right side
    13,548.97x = 106,420,580.46
  5. Step 5: Solve for x
    x = 106,420,580.46/13,548.97
  6. Step 6: Final answer
    x = 7,854.51

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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.