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Finding the Fourth Proportional to 12,086.70, 18,105.12 and 8,970.24

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Solution

The fourth proportional to 12,086.70, 18,105.12 and 8,970.24 is: 13,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.70 : 18,105.12 = 8,970.24 : x
  2. Step 2: Convert to fraction form
    12,086.70/18,105.12 = 8,970.24/x
  3. Step 3: Cross multiply
    12,086.70x = 18,105.12 × 8,970.24
  4. Step 4: Simplify right side
    12,086.70x = 162,407,271.63
  5. Step 5: Solve for x
    x = 162,407,271.63/12,086.70
  6. Step 6: Final answer
    x = 13,436.86

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