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Finding the Fourth Proportional to 23,823.38, 32,876.04 and 13,068.03

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Solution

The fourth proportional to 23,823.38, 32,876.04 and 13,068.03 is: 18,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.38 : 32,876.04 = 13,068.03 : x
  2. Step 2: Convert to fraction form
    23,823.38/32,876.04 = 13,068.03/x
  3. Step 3: Cross multiply
    23,823.38x = 32,876.04 × 13,068.03
  4. Step 4: Simplify right side
    23,823.38x = 429,625,249.29
  5. Step 5: Solve for x
    x = 429,625,249.29/23,823.38
  6. Step 6: Final answer
    x = 18,033.76

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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.