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Finding the Fourth Proportional to 23,658, 35,493 and 8,866.96

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Solution

The fourth proportional to 23,658, 35,493 and 8,866.96 is: 13,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658 : 35,493 = 8,866.96 : x
  2. Step 2: Convert to fraction form
    23,658/35,493 = 8,866.96/x
  3. Step 3: Cross multiply
    23,658x = 35,493 × 8,866.96
  4. Step 4: Simplify right side
    23,658x = 314,715,011.28
  5. Step 5: Solve for x
    x = 314,715,011.28/23,658
  6. Step 6: Final answer
    x = 13,302.69

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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.