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Finding the Fourth Proportional to 16,074.60, 24,103.80 and 9,502.80

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Solution

The fourth proportional to 16,074.60, 24,103.80 and 9,502.80 is: 14,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.60 : 24,103.80 = 9,502.80 : x
  2. Step 2: Convert to fraction form
    16,074.60/24,103.80 = 9,502.80/x
  3. Step 3: Cross multiply
    16,074.60x = 24,103.80 × 9,502.80
  4. Step 4: Simplify right side
    16,074.60x = 229,053,590.64
  5. Step 5: Solve for x
    x = 229,053,590.64/16,074.60
  6. Step 6: Final answer
    x = 14,249.41

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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.