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Finding the Fourth Proportional to 19,771.26, 27,294.21 and 11,386.14

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Solution

The fourth proportional to 19,771.26, 27,294.21 and 11,386.14 is: 15,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.26 : 27,294.21 = 11,386.14 : x
  2. Step 2: Convert to fraction form
    19,771.26/27,294.21 = 11,386.14/x
  3. Step 3: Cross multiply
    19,771.26x = 27,294.21 × 11,386.14
  4. Step 4: Simplify right side
    19,771.26x = 310,775,696.25
  5. Step 5: Solve for x
    x = 310,775,696.25/19,771.26
  6. Step 6: Final answer
    x = 15,718.56

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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.