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Finding the Fourth Proportional to 23,447.16, 35,176.50 and 10,791

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Solution

The fourth proportional to 23,447.16, 35,176.50 and 10,791 is: 16,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.16 : 35,176.50 = 10,791 : x
  2. Step 2: Convert to fraction form
    23,447.16/35,176.50 = 10,791/x
  3. Step 3: Cross multiply
    23,447.16x = 35,176.50 × 10,791
  4. Step 4: Simplify right side
    23,447.16x = 379,589,611.50
  5. Step 5: Solve for x
    x = 379,589,611.50/23,447.16
  6. Step 6: Final answer
    x = 16,189.15

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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.