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Finding the Fourth Proportional to 26,498.94, 39,754.17 and 8,032.38

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Solution

The fourth proportional to 26,498.94, 39,754.17 and 8,032.38 is: 12,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498.94 : 39,754.17 = 8,032.38 : x
  2. Step 2: Convert to fraction form
    26,498.94/39,754.17 = 8,032.38/x
  3. Step 3: Cross multiply
    26,498.94x = 39,754.17 × 8,032.38
  4. Step 4: Simplify right side
    26,498.94x = 319,320,600.02
  5. Step 5: Solve for x
    x = 319,320,600.02/26,498.94
  6. Step 6: Final answer
    x = 12,050.32

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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.