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Finding the Fourth Proportional to 19,100, 26,361.16 and 11,142.22

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Solution

The fourth proportional to 19,100, 26,361.16 and 11,142.22 is: 15,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100 : 26,361.16 = 11,142.22 : x
  2. Step 2: Convert to fraction form
    19,100/26,361.16 = 11,142.22/x
  3. Step 3: Cross multiply
    19,100x = 26,361.16 × 11,142.22
  4. Step 4: Simplify right side
    19,100x = 293,721,844.18
  5. Step 5: Solve for x
    x = 293,721,844.18/19,100
  6. Step 6: Final answer
    x = 15,378.11

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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.