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Finding the Fourth Proportional to 12,296.27, 16,948.61 and 8,712.43

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Solution

The fourth proportional to 12,296.27, 16,948.61 and 8,712.43 is: 12,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.27 : 16,948.61 = 8,712.43 : x
  2. Step 2: Convert to fraction form
    12,296.27/16,948.61 = 8,712.43/x
  3. Step 3: Cross multiply
    12,296.27x = 16,948.61 × 8,712.43
  4. Step 4: Simplify right side
    12,296.27x = 147,663,515.26
  5. Step 5: Solve for x
    x = 147,663,515.26/12,296.27
  6. Step 6: Final answer
    x = 12,008.81

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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.