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Finding the Fourth Proportional to 13,159.77, 18,160.50 and 8,122.85

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Solution

The fourth proportional to 13,159.77, 18,160.50 and 8,122.85 is: 11,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.77 : 18,160.50 = 8,122.85 : x
  2. Step 2: Convert to fraction form
    13,159.77/18,160.50 = 8,122.85/x
  3. Step 3: Cross multiply
    13,159.77x = 18,160.50 × 8,122.85
  4. Step 4: Simplify right side
    13,159.77x = 147,515,025.19
  5. Step 5: Solve for x
    x = 147,515,025.19/13,159.77
  6. Step 6: Final answer
    x = 11,209.55

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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.