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Finding the Fourth Proportional to 14,137.59, 19,508.49 and 8,169.15

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Solution

The fourth proportional to 14,137.59, 19,508.49 and 8,169.15 is: 11,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.59 : 19,508.49 = 8,169.15 : x
  2. Step 2: Convert to fraction form
    14,137.59/19,508.49 = 8,169.15/x
  3. Step 3: Cross multiply
    14,137.59x = 19,508.49 × 8,169.15
  4. Step 4: Simplify right side
    14,137.59x = 159,367,781.08
  5. Step 5: Solve for x
    x = 159,367,781.08/14,137.59
  6. Step 6: Final answer
    x = 11,272.63

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