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Finding the Fourth Proportional to 25,695.07, 38,542 and 11,844.07

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Solution

The fourth proportional to 25,695.07, 38,542 and 11,844.07 is: 17,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.07 : 38,542 = 11,844.07 : x
  2. Step 2: Convert to fraction form
    25,695.07/38,542 = 11,844.07/x
  3. Step 3: Cross multiply
    25,695.07x = 38,542 × 11,844.07
  4. Step 4: Simplify right side
    25,695.07x = 456,494,145.94
  5. Step 5: Solve for x
    x = 456,494,145.94/25,695.07
  6. Step 6: Final answer
    x = 17,765.83

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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.