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Finding the Fourth Proportional to 13,542.13, 18,689.07 and 7,573.87

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Solution

The fourth proportional to 13,542.13, 18,689.07 and 7,573.87 is: 10,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.13 : 18,689.07 = 7,573.87 : x
  2. Step 2: Convert to fraction form
    13,542.13/18,689.07 = 7,573.87/x
  3. Step 3: Cross multiply
    13,542.13x = 18,689.07 × 7,573.87
  4. Step 4: Simplify right side
    13,542.13x = 141,548,586.60
  5. Step 5: Solve for x
    x = 141,548,586.60/13,542.13
  6. Step 6: Final answer
    x = 10,452.46

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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.