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Finding the Fourth Proportional to 12,291.01, 16,948.17 and 8,305.20

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Solution

The fourth proportional to 12,291.01, 16,948.17 and 8,305.20 is: 11,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.01 : 16,948.17 = 8,305.20 : x
  2. Step 2: Convert to fraction form
    12,291.01/16,948.17 = 8,305.20/x
  3. Step 3: Cross multiply
    12,291.01x = 16,948.17 × 8,305.20
  4. Step 4: Simplify right side
    12,291.01x = 140,757,941.48
  5. Step 5: Solve for x
    x = 140,757,941.48/12,291.01
  6. Step 6: Final answer
    x = 11,452.11

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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.