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Finding the Fourth Proportional to 12,643.76, 17,449.20 and 8,387.36

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Solution

The fourth proportional to 12,643.76, 17,449.20 and 8,387.36 is: 11,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.76 : 17,449.20 = 8,387.36 : x
  2. Step 2: Convert to fraction form
    12,643.76/17,449.20 = 8,387.36/x
  3. Step 3: Cross multiply
    12,643.76x = 17,449.20 × 8,387.36
  4. Step 4: Simplify right side
    12,643.76x = 146,352,722.11
  5. Step 5: Solve for x
    x = 146,352,722.11/12,643.76
  6. Step 6: Final answer
    x = 11,575.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.