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Finding the Fourth Proportional to 13,542.12, 18,687.96 and 7,574.40

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Solution

The fourth proportional to 13,542.12, 18,687.96 and 7,574.40 is: 10,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.12 : 18,687.96 = 7,574.40 : x
  2. Step 2: Convert to fraction form
    13,542.12/18,687.96 = 7,574.40/x
  3. Step 3: Cross multiply
    13,542.12x = 18,687.96 × 7,574.40
  4. Step 4: Simplify right side
    13,542.12x = 141,550,084.22
  5. Step 5: Solve for x
    x = 141,550,084.22/13,542.12
  6. Step 6: Final answer
    x = 10,452.58

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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.