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Finding the Fourth Proportional to 12,171.87, 18,256.19 and 4,774.34

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Solution

The fourth proportional to 12,171.87, 18,256.19 and 4,774.34 is: 7,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.87 : 18,256.19 = 4,774.34 : x
  2. Step 2: Convert to fraction form
    12,171.87/18,256.19 = 4,774.34/x
  3. Step 3: Cross multiply
    12,171.87x = 18,256.19 × 4,774.34
  4. Step 4: Simplify right side
    12,171.87x = 87,161,279.93
  5. Step 5: Solve for x
    x = 87,161,279.93/12,171.87
  6. Step 6: Final answer
    x = 7,160.88

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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.