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Finding the Fourth Proportional to 13,542.80, 18,686.57 and 7,574.51

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Solution

The fourth proportional to 13,542.80, 18,686.57 and 7,574.51 is: 10,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.80 : 18,686.57 = 7,574.51 : x
  2. Step 2: Convert to fraction form
    13,542.80/18,686.57 = 7,574.51/x
  3. Step 3: Cross multiply
    13,542.80x = 18,686.57 × 7,574.51
  4. Step 4: Simplify right side
    13,542.80x = 141,541,620.17
  5. Step 5: Solve for x
    x = 141,541,620.17/13,542.80
  6. Step 6: Final answer
    x = 10,451.43

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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.