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Finding the Fourth Proportional to 19,719.36, 27,210.78 and 11,760

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Solution

The fourth proportional to 19,719.36, 27,210.78 and 11,760 is: 16,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.36 : 27,210.78 = 11,760 : x
  2. Step 2: Convert to fraction form
    19,719.36/27,210.78 = 11,760/x
  3. Step 3: Cross multiply
    19,719.36x = 27,210.78 × 11,760
  4. Step 4: Simplify right side
    19,719.36x = 319,998,772.80
  5. Step 5: Solve for x
    x = 319,998,772.80/19,719.36
  6. Step 6: Final answer
    x = 16,227.64

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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.