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Finding the Fourth Proportional to 19,807.67, 27,334.59 and 11,424.17

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Solution

The fourth proportional to 19,807.67, 27,334.59 and 11,424.17 is: 15,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.67 : 27,334.59 = 11,424.17 : x
  2. Step 2: Convert to fraction form
    19,807.67/27,334.59 = 11,424.17/x
  3. Step 3: Cross multiply
    19,807.67x = 27,334.59 × 11,424.17
  4. Step 4: Simplify right side
    19,807.67x = 312,275,003.04
  5. Step 5: Solve for x
    x = 312,275,003.04/19,807.67
  6. Step 6: Final answer
    x = 15,765.36

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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.