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Finding the Fourth Proportional to 12,384.80, 18,644.78 and 11,296.16

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Solution

The fourth proportional to 12,384.80, 18,644.78 and 11,296.16 is: 17,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.80 : 18,644.78 = 11,296.16 : x
  2. Step 2: Convert to fraction form
    12,384.80/18,644.78 = 11,296.16/x
  3. Step 3: Cross multiply
    12,384.80x = 18,644.78 × 11,296.16
  4. Step 4: Simplify right side
    12,384.80x = 210,614,418.04
  5. Step 5: Solve for x
    x = 210,614,418.04/12,384.80
  6. Step 6: Final answer
    x = 17,005.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.