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Finding the Fourth Proportional to 13,470.60, 18,586.26 and 8,164.20

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Solution

The fourth proportional to 13,470.60, 18,586.26 and 8,164.20 is: 11,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.60 : 18,586.26 = 8,164.20 : x
  2. Step 2: Convert to fraction form
    13,470.60/18,586.26 = 8,164.20/x
  3. Step 3: Cross multiply
    13,470.60x = 18,586.26 × 8,164.20
  4. Step 4: Simplify right side
    13,470.60x = 151,741,943.89
  5. Step 5: Solve for x
    x = 151,741,943.89/13,470.60
  6. Step 6: Final answer
    x = 11,264.68

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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.