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Finding the Fourth Proportional to 12,291.30, 16,948.62 and 8,305.52

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Solution

The fourth proportional to 12,291.30, 16,948.62 and 8,305.52 is: 11,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.30 : 16,948.62 = 8,305.52 : x
  2. Step 2: Convert to fraction form
    12,291.30/16,948.62 = 8,305.52/x
  3. Step 3: Cross multiply
    12,291.30x = 16,948.62 × 8,305.52
  4. Step 4: Simplify right side
    12,291.30x = 140,767,017.64
  5. Step 5: Solve for x
    x = 140,767,017.64/12,291.30
  6. Step 6: Final answer
    x = 11,452.57

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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.