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Finding the Fourth Proportional to 15,146.60, 22,723.74 and 5,286.06

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Solution

The fourth proportional to 15,146.60, 22,723.74 and 5,286.06 is: 7,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.60 : 22,723.74 = 5,286.06 : x
  2. Step 2: Convert to fraction form
    15,146.60/22,723.74 = 5,286.06/x
  3. Step 3: Cross multiply
    15,146.60x = 22,723.74 × 5,286.06
  4. Step 4: Simplify right side
    15,146.60x = 120,119,053.06
  5. Step 5: Solve for x
    x = 120,119,053.06/15,146.60
  6. Step 6: Final answer
    x = 7,930.43

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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.