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Finding the Fourth Proportional to 23,249.13, 32,083.88 and 12,638.81

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Solution

The fourth proportional to 23,249.13, 32,083.88 and 12,638.81 is: 17,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.13 : 32,083.88 = 12,638.81 : x
  2. Step 2: Convert to fraction form
    23,249.13/32,083.88 = 12,638.81/x
  3. Step 3: Cross multiply
    23,249.13x = 32,083.88 × 12,638.81
  4. Step 4: Simplify right side
    23,249.13x = 405,502,063.38
  5. Step 5: Solve for x
    x = 405,502,063.38/23,249.13
  6. Step 6: Final answer
    x = 17,441.60

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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.