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Finding the Fourth Proportional to 13,661.73, 20,488.83 and 8,656.59

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Solution

The fourth proportional to 13,661.73, 20,488.83 and 8,656.59 is: 12,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.73 : 20,488.83 = 8,656.59 : x
  2. Step 2: Convert to fraction form
    13,661.73/20,488.83 = 8,656.59/x
  3. Step 3: Cross multiply
    13,661.73x = 20,488.83 × 8,656.59
  4. Step 4: Simplify right side
    13,661.73x = 177,363,400.89
  5. Step 5: Solve for x
    x = 177,363,400.89/13,661.73
  6. Step 6: Final answer
    x = 12,982.50

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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.