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Finding the Fourth Proportional to 23,657.76, 32,660.84 and 17,278

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Solution

The fourth proportional to 23,657.76, 32,660.84 and 17,278 is: 23,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.76 : 32,660.84 = 17,278 : x
  2. Step 2: Convert to fraction form
    23,657.76/32,660.84 = 17,278/x
  3. Step 3: Cross multiply
    23,657.76x = 32,660.84 × 17,278
  4. Step 4: Simplify right side
    23,657.76x = 564,313,993.52
  5. Step 5: Solve for x
    x = 564,313,993.52/23,657.76
  6. Step 6: Final answer
    x = 23,853.23

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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.