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Finding the Fourth Proportional to 23,754, 32,781.06 and 15,385.08

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Solution

The fourth proportional to 23,754, 32,781.06 and 15,385.08 is: 21,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754 : 32,781.06 = 15,385.08 : x
  2. Step 2: Convert to fraction form
    23,754/32,781.06 = 15,385.08/x
  3. Step 3: Cross multiply
    23,754x = 32,781.06 × 15,385.08
  4. Step 4: Simplify right side
    23,754x = 504,339,230.58
  5. Step 5: Solve for x
    x = 504,339,230.58/23,754
  6. Step 6: Final answer
    x = 21,231.76

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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.