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Finding the Fourth Proportional to 19,718.36, 27,209.40 and 11,759

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Solution

The fourth proportional to 19,718.36, 27,209.40 and 11,759 is: 16,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718.36 : 27,209.40 = 11,759 : x
  2. Step 2: Convert to fraction form
    19,718.36/27,209.40 = 11,759/x
  3. Step 3: Cross multiply
    19,718.36x = 27,209.40 × 11,759
  4. Step 4: Simplify right side
    19,718.36x = 319,955,334.60
  5. Step 5: Solve for x
    x = 319,955,334.60/19,718.36
  6. Step 6: Final answer
    x = 16,226.26

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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.