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Finding the Fourth Proportional to 15,714.92, 23,586.42 and 8,324.48

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Solution

The fourth proportional to 15,714.92, 23,586.42 and 8,324.48 is: 12,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.92 : 23,586.42 = 8,324.48 : x
  2. Step 2: Convert to fraction form
    15,714.92/23,586.42 = 8,324.48/x
  3. Step 3: Cross multiply
    15,714.92x = 23,586.42 × 8,324.48
  4. Step 4: Simplify right side
    15,714.92x = 196,344,681.56
  5. Step 5: Solve for x
    x = 196,344,681.56/15,714.92
  6. Step 6: Final answer
    x = 12,494.16

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1.5x scale

Why These Related Problems?

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