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Finding the Fourth Proportional to 15,530.57, 23,293.46 and 8,514.06

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Solution

The fourth proportional to 15,530.57, 23,293.46 and 8,514.06 is: 12,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.57 : 23,293.46 = 8,514.06 : x
  2. Step 2: Convert to fraction form
    15,530.57/23,293.46 = 8,514.06/x
  3. Step 3: Cross multiply
    15,530.57x = 23,293.46 × 8,514.06
  4. Step 4: Simplify right side
    15,530.57x = 198,321,916.05
  5. Step 5: Solve for x
    x = 198,321,916.05/15,530.57
  6. Step 6: Final answer
    x = 12,769.78

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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.