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Finding the Fourth Proportional to 15,164.13, 20,926.32 and 8,449.74

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Solution

The fourth proportional to 15,164.13, 20,926.32 and 8,449.74 is: 11,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.13 : 20,926.32 = 8,449.74 : x
  2. Step 2: Convert to fraction form
    15,164.13/20,926.32 = 8,449.74/x
  3. Step 3: Cross multiply
    15,164.13x = 20,926.32 × 8,449.74
  4. Step 4: Simplify right side
    15,164.13x = 176,821,963.16
  5. Step 5: Solve for x
    x = 176,821,963.16/15,164.13
  6. Step 6: Final answer
    x = 11,660.54

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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.