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Finding the Fourth Proportional to 14,338.67, 19,786.64 and 7,965.66

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Solution

The fourth proportional to 14,338.67, 19,786.64 and 7,965.66 is: 10,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.67 : 19,786.64 = 7,965.66 : x
  2. Step 2: Convert to fraction form
    14,338.67/19,786.64 = 7,965.66/x
  3. Step 3: Cross multiply
    14,338.67x = 19,786.64 × 7,965.66
  4. Step 4: Simplify right side
    14,338.67x = 157,613,666.70
  5. Step 5: Solve for x
    x = 157,613,666.70/14,338.67
  6. Step 6: Final answer
    x = 10,992.21

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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.