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Finding the Fourth Proportional to 16,613.58, 24,920.10 and 7,854.78

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Solution

The fourth proportional to 16,613.58, 24,920.10 and 7,854.78 is: 11,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,613.58 : 24,920.10 = 7,854.78 : x
  2. Step 2: Convert to fraction form
    16,613.58/24,920.10 = 7,854.78/x
  3. Step 3: Cross multiply
    16,613.58x = 24,920.10 × 7,854.78
  4. Step 4: Simplify right side
    16,613.58x = 195,741,903.08
  5. Step 5: Solve for x
    x = 195,741,903.08/16,613.58
  6. Step 6: Final answer
    x = 11,782.04

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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.