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Finding the Fourth Proportional to 12,471.26, 18,711.54 and 5,077.58

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Solution

The fourth proportional to 12,471.26, 18,711.54 and 5,077.58 is: 7,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.26 : 18,711.54 = 5,077.58 : x
  2. Step 2: Convert to fraction form
    12,471.26/18,711.54 = 5,077.58/x
  3. Step 3: Cross multiply
    12,471.26x = 18,711.54 × 5,077.58
  4. Step 4: Simplify right side
    12,471.26x = 95,009,341.27
  5. Step 5: Solve for x
    x = 95,009,341.27/12,471.26
  6. Step 6: Final answer
    x = 7,618.26

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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.