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Finding the Fourth Proportional to 27,782.38, 41,689.86 and 10,264.42

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Solution

The fourth proportional to 27,782.38, 41,689.86 and 10,264.42 is: 15,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.38 : 41,689.86 = 10,264.42 : x
  2. Step 2: Convert to fraction form
    27,782.38/41,689.86 = 10,264.42/x
  3. Step 3: Cross multiply
    27,782.38x = 41,689.86 × 10,264.42
  4. Step 4: Simplify right side
    27,782.38x = 427,922,232.78
  5. Step 5: Solve for x
    x = 427,922,232.78/27,782.38
  6. Step 6: Final answer
    x = 15,402.65

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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.