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Finding the Fourth Proportional to 12,546.44, 17,308.52 and 8,069.36

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Solution

The fourth proportional to 12,546.44, 17,308.52 and 8,069.36 is: 11,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.44 : 17,308.52 = 8,069.36 : x
  2. Step 2: Convert to fraction form
    12,546.44/17,308.52 = 8,069.36/x
  3. Step 3: Cross multiply
    12,546.44x = 17,308.52 × 8,069.36
  4. Step 4: Simplify right side
    12,546.44x = 139,668,678.95
  5. Step 5: Solve for x
    x = 139,668,678.95/12,546.44
  6. Step 6: Final answer
    x = 11,132.14

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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.