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Finding the Fourth Proportional to 12,305.27, 18,460.35 and 4,514.15

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Solution

The fourth proportional to 12,305.27, 18,460.35 and 4,514.15 is: 6,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.27 : 18,460.35 = 4,514.15 : x
  2. Step 2: Convert to fraction form
    12,305.27/18,460.35 = 4,514.15/x
  3. Step 3: Cross multiply
    12,305.27x = 18,460.35 × 4,514.15
  4. Step 4: Simplify right side
    12,305.27x = 83,332,766.38
  5. Step 5: Solve for x
    x = 83,332,766.38/12,305.27
  6. Step 6: Final answer
    x = 6,772.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.