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Finding the Fourth Proportional to 14,338.62, 19,786.65 and 7,965.65

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Solution

The fourth proportional to 14,338.62, 19,786.65 and 7,965.65 is: 10,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.62 : 19,786.65 = 7,965.65 : x
  2. Step 2: Convert to fraction form
    14,338.62/19,786.65 = 7,965.65/x
  3. Step 3: Cross multiply
    14,338.62x = 19,786.65 × 7,965.65
  4. Step 4: Simplify right side
    14,338.62x = 157,613,488.74
  5. Step 5: Solve for x
    x = 157,613,488.74/14,338.62
  6. Step 6: Final answer
    x = 10,992.24

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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.