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Finding the Fourth Proportional to 12,964.29, 17,891.04 and 7,299.21

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Solution

The fourth proportional to 12,964.29, 17,891.04 and 7,299.21 is: 10,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.29 : 17,891.04 = 7,299.21 : x
  2. Step 2: Convert to fraction form
    12,964.29/17,891.04 = 7,299.21/x
  3. Step 3: Cross multiply
    12,964.29x = 17,891.04 × 7,299.21
  4. Step 4: Simplify right side
    12,964.29x = 130,590,552.54
  5. Step 5: Solve for x
    x = 130,590,552.54/12,964.29
  6. Step 6: Final answer
    x = 10,073.10

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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.