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Finding the Fourth Proportional to 23,874.69, 32,944.54 and 13,801.53

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Solution

The fourth proportional to 23,874.69, 32,944.54 and 13,801.53 is: 19,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.69 : 32,944.54 = 13,801.53 : x
  2. Step 2: Convert to fraction form
    23,874.69/32,944.54 = 13,801.53/x
  3. Step 3: Cross multiply
    23,874.69x = 32,944.54 × 13,801.53
  4. Step 4: Simplify right side
    23,874.69x = 454,685,057.15
  5. Step 5: Solve for x
    x = 454,685,057.15/23,874.69
  6. Step 6: Final answer
    x = 19,044.65

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