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Finding the Fourth Proportional to 25,878.73, 38,826.30 and 9,238.41

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Solution

The fourth proportional to 25,878.73, 38,826.30 and 9,238.41 is: 13,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.73 : 38,826.30 = 9,238.41 : x
  2. Step 2: Convert to fraction form
    25,878.73/38,826.30 = 9,238.41/x
  3. Step 3: Cross multiply
    25,878.73x = 38,826.30 × 9,238.41
  4. Step 4: Simplify right side
    25,878.73x = 358,693,278.18
  5. Step 5: Solve for x
    x = 358,693,278.18/25,878.73
  6. Step 6: Final answer
    x = 13,860.54

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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.