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Finding the Fourth Proportional to 13,086.64, 18,065.46 and 8,612.74

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Solution

The fourth proportional to 13,086.64, 18,065.46 and 8,612.74 is: 11,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.64 : 18,065.46 = 8,612.74 : x
  2. Step 2: Convert to fraction form
    13,086.64/18,065.46 = 8,612.74/x
  3. Step 3: Cross multiply
    13,086.64x = 18,065.46 × 8,612.74
  4. Step 4: Simplify right side
    13,086.64x = 155,593,109.96
  5. Step 5: Solve for x
    x = 155,593,109.96/13,086.64
  6. Step 6: Final answer
    x = 11,889.46

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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.