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Finding the Fourth Proportional to 23,826.40, 32,878.09 and 13,215.82

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Solution

The fourth proportional to 23,826.40, 32,878.09 and 13,215.82 is: 18,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.40 : 32,878.09 = 13,215.82 : x
  2. Step 2: Convert to fraction form
    23,826.40/32,878.09 = 13,215.82/x
  3. Step 3: Cross multiply
    23,826.40x = 32,878.09 × 13,215.82
  4. Step 4: Simplify right side
    23,826.40x = 434,510,919.38
  5. Step 5: Solve for x
    x = 434,510,919.38/23,826.40
  6. Step 6: Final answer
    x = 18,236.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.