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Finding the Fourth Proportional to 26,101.86, 39,149.13 and 8,569.41

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Solution

The fourth proportional to 26,101.86, 39,149.13 and 8,569.41 is: 12,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101.86 : 39,149.13 = 8,569.41 : x
  2. Step 2: Convert to fraction form
    26,101.86/39,149.13 = 8,569.41/x
  3. Step 3: Cross multiply
    26,101.86x = 39,149.13 × 8,569.41
  4. Step 4: Simplify right side
    26,101.86x = 335,484,831.44
  5. Step 5: Solve for x
    x = 335,484,831.44/26,101.86
  6. Step 6: Final answer
    x = 12,852.91

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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.