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Finding the Fourth Proportional to 14,965.82, 22,443.87 and 7,067.11

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Solution

The fourth proportional to 14,965.82, 22,443.87 and 7,067.11 is: 10,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.82 : 22,443.87 = 7,067.11 : x
  2. Step 2: Convert to fraction form
    14,965.82/22,443.87 = 7,067.11/x
  3. Step 3: Cross multiply
    14,965.82x = 22,443.87 × 7,067.11
  4. Step 4: Simplify right side
    14,965.82x = 158,613,298.12
  5. Step 5: Solve for x
    x = 158,613,298.12/14,965.82
  6. Step 6: Final answer
    x = 10,598.37

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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.