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Finding the Fourth Proportional to 16,345.68, 24,514.92 and 8,017.44

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Solution

The fourth proportional to 16,345.68, 24,514.92 and 8,017.44 is: 12,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.68 : 24,514.92 = 8,017.44 : x
  2. Step 2: Convert to fraction form
    16,345.68/24,514.92 = 8,017.44/x
  3. Step 3: Cross multiply
    16,345.68x = 24,514.92 × 8,017.44
  4. Step 4: Simplify right side
    16,345.68x = 196,546,900.20
  5. Step 5: Solve for x
    x = 196,546,900.20/16,345.68
  6. Step 6: Final answer
    x = 12,024.39

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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.