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Finding the Fourth Proportional to 25,797.05, 38,693.94 and 9,154.88

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Solution

The fourth proportional to 25,797.05, 38,693.94 and 9,154.88 is: 13,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.05 : 38,693.94 = 9,154.88 : x
  2. Step 2: Convert to fraction form
    25,797.05/38,693.94 = 9,154.88/x
  3. Step 3: Cross multiply
    25,797.05x = 38,693.94 × 9,154.88
  4. Step 4: Simplify right side
    25,797.05x = 354,238,183.96
  5. Step 5: Solve for x
    x = 354,238,183.96/25,797.05
  6. Step 6: Final answer
    x = 13,731.73

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Why These Related Problems?

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