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Finding the Fourth Proportional to 23,257.83, 34,886.79 and 5,727.66

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Solution

The fourth proportional to 23,257.83, 34,886.79 and 5,727.66 is: 8,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.83 : 34,886.79 = 5,727.66 : x
  2. Step 2: Convert to fraction form
    23,257.83/34,886.79 = 5,727.66/x
  3. Step 3: Cross multiply
    23,257.83x = 34,886.79 × 5,727.66
  4. Step 4: Simplify right side
    23,257.83x = 199,819,671.61
  5. Step 5: Solve for x
    x = 199,819,671.61/23,257.83
  6. Step 6: Final answer
    x = 8,591.50

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Why These Related Problems?

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