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Finding the Fourth Proportional to 19,694.94, 27,184.19 and 11,202.03

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Solution

The fourth proportional to 19,694.94, 27,184.19 and 11,202.03 is: 15,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.94 : 27,184.19 = 11,202.03 : x
  2. Step 2: Convert to fraction form
    19,694.94/27,184.19 = 11,202.03/x
  3. Step 3: Cross multiply
    19,694.94x = 27,184.19 × 11,202.03
  4. Step 4: Simplify right side
    19,694.94x = 304,518,055.90
  5. Step 5: Solve for x
    x = 304,518,055.90/19,694.94
  6. Step 6: Final answer
    x = 15,461.74

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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.