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Finding the Fourth Proportional to 25,097.56, 34,634.98 and 13,768.08

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Solution

The fourth proportional to 25,097.56, 34,634.98 and 13,768.08 is: 19,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.56 : 34,634.98 = 13,768.08 : x
  2. Step 2: Convert to fraction form
    25,097.56/34,634.98 = 13,768.08/x
  3. Step 3: Cross multiply
    25,097.56x = 34,634.98 × 13,768.08
  4. Step 4: Simplify right side
    25,097.56x = 476,857,175.44
  5. Step 5: Solve for x
    x = 476,857,175.44/25,097.56
  6. Step 6: Final answer
    x = 19,000.14

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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.