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Finding the Fourth Proportional to 13,542.19, 18,699.76 and 8,514.82

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Solution

The fourth proportional to 13,542.19, 18,699.76 and 8,514.82 is: 11,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.19 : 18,699.76 = 8,514.82 : x
  2. Step 2: Convert to fraction form
    13,542.19/18,699.76 = 8,514.82/x
  3. Step 3: Cross multiply
    13,542.19x = 18,699.76 × 8,514.82
  4. Step 4: Simplify right side
    13,542.19x = 159,225,124.46
  5. Step 5: Solve for x
    x = 159,225,124.46/13,542.19
  6. Step 6: Final answer
    x = 11,757.71

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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.