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Finding the Fourth Proportional to 14,199.82, 19,595.38 and 8,149.90

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Solution

The fourth proportional to 14,199.82, 19,595.38 and 8,149.90 is: 11,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.82 : 19,595.38 = 8,149.90 : x
  2. Step 2: Convert to fraction form
    14,199.82/19,595.38 = 8,149.90/x
  3. Step 3: Cross multiply
    14,199.82x = 19,595.38 × 8,149.90
  4. Step 4: Simplify right side
    14,199.82x = 159,700,320.22
  5. Step 5: Solve for x
    x = 159,700,320.22/14,199.82
  6. Step 6: Final answer
    x = 11,246.64

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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.