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Finding the Fourth Proportional to 12,509.90, 18,786.31 and 11,107.49

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Solution

The fourth proportional to 12,509.90, 18,786.31 and 11,107.49 is: 16,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.90 : 18,786.31 = 11,107.49 : x
  2. Step 2: Convert to fraction form
    12,509.90/18,786.31 = 11,107.49/x
  3. Step 3: Cross multiply
    12,509.90x = 18,786.31 × 11,107.49
  4. Step 4: Simplify right side
    12,509.90x = 208,668,691.24
  5. Step 5: Solve for x
    x = 208,668,691.24/12,509.90
  6. Step 6: Final answer
    x = 16,680.29

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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.