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Finding the Fourth Proportional to 19,706.81, 27,194.32 and 11,207.78

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Solution

The fourth proportional to 19,706.81, 27,194.32 and 11,207.78 is: 15,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.81 : 27,194.32 = 11,207.78 : x
  2. Step 2: Convert to fraction form
    19,706.81/27,194.32 = 11,207.78/x
  3. Step 3: Cross multiply
    19,706.81x = 27,194.32 × 11,207.78
  4. Step 4: Simplify right side
    19,706.81x = 304,787,955.81
  5. Step 5: Solve for x
    x = 304,787,955.81/19,706.81
  6. Step 6: Final answer
    x = 15,466.12

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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.