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Finding the Fourth Proportional to 23,995.50, 35,993.24 and 6,465.30

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Solution

The fourth proportional to 23,995.50, 35,993.24 and 6,465.30 is: 9,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,995.50 : 35,993.24 = 6,465.30 : x
  2. Step 2: Convert to fraction form
    23,995.50/35,993.24 = 6,465.30/x
  3. Step 3: Cross multiply
    23,995.50x = 35,993.24 × 6,465.30
  4. Step 4: Simplify right side
    23,995.50x = 232,707,094.57
  5. Step 5: Solve for x
    x = 232,707,094.57/23,995.50
  6. Step 6: Final answer
    x = 9,697.95

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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.