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Finding the Fourth Proportional to 23,660, 35,496 and 8,868.96

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Solution

The fourth proportional to 23,660, 35,496 and 8,868.96 is: 13,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,660 : 35,496 = 8,868.96 : x
  2. Step 2: Convert to fraction form
    23,660/35,496 = 8,868.96/x
  3. Step 3: Cross multiply
    23,660x = 35,496 × 8,868.96
  4. Step 4: Simplify right side
    23,660x = 314,812,604.16
  5. Step 5: Solve for x
    x = 314,812,604.16/23,660
  6. Step 6: Final answer
    x = 13,305.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.