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Finding the Fourth Proportional to 13,774.53, 20,661.41 and 9,261.26

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Solution

The fourth proportional to 13,774.53, 20,661.41 and 9,261.26 is: 13,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.53 : 20,661.41 = 9,261.26 : x
  2. Step 2: Convert to fraction form
    13,774.53/20,661.41 = 9,261.26/x
  3. Step 3: Cross multiply
    13,774.53x = 20,661.41 × 9,261.26
  4. Step 4: Simplify right side
    13,774.53x = 191,350,615.17
  5. Step 5: Solve for x
    x = 191,350,615.17/13,774.53
  6. Step 6: Final answer
    x = 13,891.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.