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Finding the Fourth Proportional to 23,605.80, 35,406.24 and 8,023.02

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Solution

The fourth proportional to 23,605.80, 35,406.24 and 8,023.02 is: 12,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.80 : 35,406.24 = 8,023.02 : x
  2. Step 2: Convert to fraction form
    23,605.80/35,406.24 = 8,023.02/x
  3. Step 3: Cross multiply
    23,605.80x = 35,406.24 × 8,023.02
  4. Step 4: Simplify right side
    23,605.80x = 284,064,971.64
  5. Step 5: Solve for x
    x = 284,064,971.64/23,605.80
  6. Step 6: Final answer
    x = 12,033.69

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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.