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Finding the Fourth Proportional to 13,542.94, 20,316.95 and 6,147.92

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Solution

The fourth proportional to 13,542.94, 20,316.95 and 6,147.92 is: 9,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.94 : 20,316.95 = 6,147.92 : x
  2. Step 2: Convert to fraction form
    13,542.94/20,316.95 = 6,147.92/x
  3. Step 3: Cross multiply
    13,542.94x = 20,316.95 × 6,147.92
  4. Step 4: Simplify right side
    13,542.94x = 124,906,983.24
  5. Step 5: Solve for x
    x = 124,906,983.24/13,542.94
  6. Step 6: Final answer
    x = 9,223.03

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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.