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Finding the Fourth Proportional to 13,602.25, 18,766.38 and 8,566.89

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Solution

The fourth proportional to 13,602.25, 18,766.38 and 8,566.89 is: 11,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.25 : 18,766.38 = 8,566.89 : x
  2. Step 2: Convert to fraction form
    13,602.25/18,766.38 = 8,566.89/x
  3. Step 3: Cross multiply
    13,602.25x = 18,766.38 × 8,566.89
  4. Step 4: Simplify right side
    13,602.25x = 160,769,513.16
  5. Step 5: Solve for x
    x = 160,769,513.16/13,602.25
  6. Step 6: Final answer
    x = 11,819.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.