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Finding the Fourth Proportional to 12,964.66, 19,431.19 and 6,721.23

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Solution

The fourth proportional to 12,964.66, 19,431.19 and 6,721.23 is: 10,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.66 : 19,431.19 = 6,721.23 : x
  2. Step 2: Convert to fraction form
    12,964.66/19,431.19 = 6,721.23/x
  3. Step 3: Cross multiply
    12,964.66x = 19,431.19 × 6,721.23
  4. Step 4: Simplify right side
    12,964.66x = 130,601,469.13
  5. Step 5: Solve for x
    x = 130,601,469.13/12,964.66
  6. Step 6: Final answer
    x = 10,073.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.