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Finding the Fourth Proportional to 13,874.07, 19,149.78 and 8,565.84

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Solution

The fourth proportional to 13,874.07, 19,149.78 and 8,565.84 is: 11,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.07 : 19,149.78 = 8,565.84 : x
  2. Step 2: Convert to fraction form
    13,874.07/19,149.78 = 8,565.84/x
  3. Step 3: Cross multiply
    13,874.07x = 19,149.78 × 8,565.84
  4. Step 4: Simplify right side
    13,874.07x = 164,033,951.52
  5. Step 5: Solve for x
    x = 164,033,951.52/13,874.07
  6. Step 6: Final answer
    x = 11,823.06

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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.