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Finding the Fourth Proportional to 25,959.31, 35,823.82 and 14,022.64

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Solution

The fourth proportional to 25,959.31, 35,823.82 and 14,022.64 is: 19,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,959.31 : 35,823.82 = 14,022.64 : x
  2. Step 2: Convert to fraction form
    25,959.31/35,823.82 = 14,022.64/x
  3. Step 3: Cross multiply
    25,959.31x = 35,823.82 × 14,022.64
  4. Step 4: Simplify right side
    25,959.31x = 502,344,531.28
  5. Step 5: Solve for x
    x = 502,344,531.28/25,959.31
  6. Step 6: Final answer
    x = 19,351.23

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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.