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Finding the Fourth Proportional to 14,044.88, 19,382.96 and 8,078.42

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Solution

The fourth proportional to 14,044.88, 19,382.96 and 8,078.42 is: 11,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.88 : 19,382.96 = 8,078.42 : x
  2. Step 2: Convert to fraction form
    14,044.88/19,382.96 = 8,078.42/x
  3. Step 3: Cross multiply
    14,044.88x = 19,382.96 × 8,078.42
  4. Step 4: Simplify right side
    14,044.88x = 156,583,651.33
  5. Step 5: Solve for x
    x = 156,583,651.33/14,044.88
  6. Step 6: Final answer
    x = 11,148.81

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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.