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Finding the Fourth Proportional to 25,258.25, 34,857.47 and 14,080.25

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Solution

The fourth proportional to 25,258.25, 34,857.47 and 14,080.25 is: 19,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.25 : 34,857.47 = 14,080.25 : x
  2. Step 2: Convert to fraction form
    25,258.25/34,857.47 = 14,080.25/x
  3. Step 3: Cross multiply
    25,258.25x = 34,857.47 × 14,080.25
  4. Step 4: Simplify right side
    25,258.25x = 490,801,891.97
  5. Step 5: Solve for x
    x = 490,801,891.97/25,258.25
  6. Step 6: Final answer
    x = 19,431.35

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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.