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Finding the Fourth Proportional to 12,643.24, 17,440.15 and 8,169.63

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Solution

The fourth proportional to 12,643.24, 17,440.15 and 8,169.63 is: 11,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.24 : 17,440.15 = 8,169.63 : x
  2. Step 2: Convert to fraction form
    12,643.24/17,440.15 = 8,169.63/x
  3. Step 3: Cross multiply
    12,643.24x = 17,440.15 × 8,169.63
  4. Step 4: Simplify right side
    12,643.24x = 142,479,572.64
  5. Step 5: Solve for x
    x = 142,479,572.64/12,643.24
  6. Step 6: Final answer
    x = 11,269.23

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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.