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Finding the Fourth Proportional to 23,132.50, 34,696.17 and 6,493.18

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Solution

The fourth proportional to 23,132.50, 34,696.17 and 6,493.18 is: 9,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.50 : 34,696.17 = 6,493.18 : x
  2. Step 2: Convert to fraction form
    23,132.50/34,696.17 = 6,493.18/x
  3. Step 3: Cross multiply
    23,132.50x = 34,696.17 × 6,493.18
  4. Step 4: Simplify right side
    23,132.50x = 225,288,477.12
  5. Step 5: Solve for x
    x = 225,288,477.12/23,132.50
  6. Step 6: Final answer
    x = 9,739.05

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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.