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Finding the Fourth Proportional to 12,490.49, 18,713.17 and 7,808.27

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Solution

The fourth proportional to 12,490.49, 18,713.17 and 7,808.27 is: 11,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.49 : 18,713.17 = 7,808.27 : x
  2. Step 2: Convert to fraction form
    12,490.49/18,713.17 = 7,808.27/x
  3. Step 3: Cross multiply
    12,490.49x = 18,713.17 × 7,808.27
  4. Step 4: Simplify right side
    12,490.49x = 146,117,351.31
  5. Step 5: Solve for x
    x = 146,117,351.31/12,490.49
  6. Step 6: Final answer
    x = 11,698.29

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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.