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Finding the Fourth Proportional to 12,965.43, 17,890.02 and 7,661.91

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Solution

The fourth proportional to 12,965.43, 17,890.02 and 7,661.91 is: 10,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.43 : 17,890.02 = 7,661.91 : x
  2. Step 2: Convert to fraction form
    12,965.43/17,890.02 = 7,661.91/x
  3. Step 3: Cross multiply
    12,965.43x = 17,890.02 × 7,661.91
  4. Step 4: Simplify right side
    12,965.43x = 137,071,723.14
  5. Step 5: Solve for x
    x = 137,071,723.14/12,965.43
  6. Step 6: Final answer
    x = 10,572.09

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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.