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Finding the Fourth Proportional to 14,149.15, 19,519.78 and 8,834.74

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Solution

The fourth proportional to 14,149.15, 19,519.78 and 8,834.74 is: 12,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.15 : 19,519.78 = 8,834.74 : x
  2. Step 2: Convert to fraction form
    14,149.15/19,519.78 = 8,834.74/x
  3. Step 3: Cross multiply
    14,149.15x = 19,519.78 × 8,834.74
  4. Step 4: Simplify right side
    14,149.15x = 172,452,039.38
  5. Step 5: Solve for x
    x = 172,452,039.38/14,149.15
  6. Step 6: Final answer
    x = 12,188.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.