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Finding the Fourth Proportional to 23,738, 32,740.62 and 19,981.24

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Solution

The fourth proportional to 23,738, 32,740.62 and 19,981.24 is: 27,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738 : 32,740.62 = 19,981.24 : x
  2. Step 2: Convert to fraction form
    23,738/32,740.62 = 19,981.24/x
  3. Step 3: Cross multiply
    23,738x = 32,740.62 × 19,981.24
  4. Step 4: Simplify right side
    23,738x = 654,198,185.97
  5. Step 5: Solve for x
    x = 654,198,185.97/23,738
  6. Step 6: Final answer
    x = 27,559.11

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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.