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Finding the Fourth Proportional to 13,542.86, 18,689.07 and 7,574.54

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Solution

The fourth proportional to 13,542.86, 18,689.07 and 7,574.54 is: 10,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.86 : 18,689.07 = 7,574.54 : x
  2. Step 2: Convert to fraction form
    13,542.86/18,689.07 = 7,574.54/x
  3. Step 3: Cross multiply
    13,542.86x = 18,689.07 × 7,574.54
  4. Step 4: Simplify right side
    13,542.86x = 141,561,108.28
  5. Step 5: Solve for x
    x = 141,561,108.28/13,542.86
  6. Step 6: Final answer
    x = 10,452.82

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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.