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Finding the Fourth Proportional to 19,296.96, 26,618.40 and 11,832

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Solution

The fourth proportional to 19,296.96, 26,618.40 and 11,832 is: 16,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296.96 : 26,618.40 = 11,832 : x
  2. Step 2: Convert to fraction form
    19,296.96/26,618.40 = 11,832/x
  3. Step 3: Cross multiply
    19,296.96x = 26,618.40 × 11,832
  4. Step 4: Simplify right side
    19,296.96x = 314,948,908.80
  5. Step 5: Solve for x
    x = 314,948,908.80/19,296.96
  6. Step 6: Final answer
    x = 16,321.17

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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.