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Finding the Fourth Proportional to 12,493.63, 17,223.82 and 8,711.29

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Solution

The fourth proportional to 12,493.63, 17,223.82 and 8,711.29 is: 12,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.63 : 17,223.82 = 8,711.29 : x
  2. Step 2: Convert to fraction form
    12,493.63/17,223.82 = 8,711.29/x
  3. Step 3: Cross multiply
    12,493.63x = 17,223.82 × 8,711.29
  4. Step 4: Simplify right side
    12,493.63x = 150,041,690.93
  5. Step 5: Solve for x
    x = 150,041,690.93/12,493.63
  6. Step 6: Final answer
    x = 12,009.46

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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.