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Finding the Fourth Proportional to 25,844.67, 38,767.14 and 10,262.30

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Solution

The fourth proportional to 25,844.67, 38,767.14 and 10,262.30 is: 15,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,844.67 : 38,767.14 = 10,262.30 : x
  2. Step 2: Convert to fraction form
    25,844.67/38,767.14 = 10,262.30/x
  3. Step 3: Cross multiply
    25,844.67x = 38,767.14 × 10,262.30
  4. Step 4: Simplify right side
    25,844.67x = 397,839,826.99
  5. Step 5: Solve for x
    x = 397,839,826.99/25,844.67
  6. Step 6: Final answer
    x = 15,393.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.