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Finding the Fourth Proportional to 19,616.38, 29,407.96 and 8,514.70

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Solution

The fourth proportional to 19,616.38, 29,407.96 and 8,514.70 is: 12,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.38 : 29,407.96 = 8,514.70 : x
  2. Step 2: Convert to fraction form
    19,616.38/29,407.96 = 8,514.70/x
  3. Step 3: Cross multiply
    19,616.38x = 29,407.96 × 8,514.70
  4. Step 4: Simplify right side
    19,616.38x = 250,399,957.01
  5. Step 5: Solve for x
    x = 250,399,957.01/19,616.38
  6. Step 6: Final answer
    x = 12,764.84

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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.