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Finding the Fourth Proportional to 12,514.31, 18,776.69 and 5,490.70

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Solution

The fourth proportional to 12,514.31, 18,776.69 and 5,490.70 is: 8,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.31 : 18,776.69 = 5,490.70 : x
  2. Step 2: Convert to fraction form
    12,514.31/18,776.69 = 5,490.70/x
  3. Step 3: Cross multiply
    12,514.31x = 18,776.69 × 5,490.70
  4. Step 4: Simplify right side
    12,514.31x = 103,097,138.57
  5. Step 5: Solve for x
    x = 103,097,138.57/12,514.31
  6. Step 6: Final answer
    x = 8,238.34

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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.