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Finding the Fourth Proportional to 25,022, 34,531.44 and 13,844

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Solution

The fourth proportional to 25,022, 34,531.44 and 13,844 is: 19,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,022 : 34,531.44 = 13,844 : x
  2. Step 2: Convert to fraction form
    25,022/34,531.44 = 13,844/x
  3. Step 3: Cross multiply
    25,022x = 34,531.44 × 13,844
  4. Step 4: Simplify right side
    25,022x = 478,053,255.36
  5. Step 5: Solve for x
    x = 478,053,255.36/25,022
  6. Step 6: Final answer
    x = 19,105.32

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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.