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Finding the Fourth Proportional to 27,049.34, 40,594.94 and 17,686.82

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Solution

The fourth proportional to 27,049.34, 40,594.94 and 17,686.82 is: 26,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.34 : 40,594.94 = 17,686.82 : x
  2. Step 2: Convert to fraction form
    27,049.34/40,594.94 = 17,686.82/x
  3. Step 3: Cross multiply
    27,049.34x = 40,594.94 × 17,686.82
  4. Step 4: Simplify right side
    27,049.34x = 717,995,476.07
  5. Step 5: Solve for x
    x = 717,995,476.07/27,049.34
  6. Step 6: Final answer
    x = 26,543.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.