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Finding the Fourth Proportional to 16,613.16, 24,913.14 and 8,290.20

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Solution

The fourth proportional to 16,613.16, 24,913.14 and 8,290.20 is: 12,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,613.16 : 24,913.14 = 8,290.20 : x
  2. Step 2: Convert to fraction form
    16,613.16/24,913.14 = 8,290.20/x
  3. Step 3: Cross multiply
    16,613.16x = 24,913.14 × 8,290.20
  4. Step 4: Simplify right side
    16,613.16x = 206,534,913.23
  5. Step 5: Solve for x
    x = 206,534,913.23/16,613.16
  6. Step 6: Final answer
    x = 12,432.01

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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.