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Finding the Fourth Proportional to 12,328.29, 17,011.89 and 7,022.97

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Solution

The fourth proportional to 12,328.29, 17,011.89 and 7,022.97 is: 9,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.29 : 17,011.89 = 7,022.97 : x
  2. Step 2: Convert to fraction form
    12,328.29/17,011.89 = 7,022.97/x
  3. Step 3: Cross multiply
    12,328.29x = 17,011.89 × 7,022.97
  4. Step 4: Simplify right side
    12,328.29x = 119,473,993.11
  5. Step 5: Solve for x
    x = 119,473,993.11/12,328.29
  6. Step 6: Final answer
    x = 9,691.04

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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.