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Finding the Fourth Proportional to 23,203.73, 34,809.98 and 8,002.26

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Solution

The fourth proportional to 23,203.73, 34,809.98 and 8,002.26 is: 12,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.73 : 34,809.98 = 8,002.26 : x
  2. Step 2: Convert to fraction form
    23,203.73/34,809.98 = 8,002.26/x
  3. Step 3: Cross multiply
    23,203.73x = 34,809.98 × 8,002.26
  4. Step 4: Simplify right side
    23,203.73x = 278,558,346.20
  5. Step 5: Solve for x
    x = 278,558,346.20/23,203.73
  6. Step 6: Final answer
    x = 12,004.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.