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Finding the Fourth Proportional to 12,256.74, 18,387.54 and 4,471.02

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Solution

The fourth proportional to 12,256.74, 18,387.54 and 4,471.02 is: 6,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.74 : 18,387.54 = 4,471.02 : x
  2. Step 2: Convert to fraction form
    12,256.74/18,387.54 = 4,471.02/x
  3. Step 3: Cross multiply
    12,256.74x = 18,387.54 × 4,471.02
  4. Step 4: Simplify right side
    12,256.74x = 82,211,059.09
  5. Step 5: Solve for x
    x = 82,211,059.09/12,256.74
  6. Step 6: Final answer
    x = 6,707.42

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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.