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Finding the Fourth Proportional to 22,577.31, 33,845.02 and 8,337.92

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Solution

The fourth proportional to 22,577.31, 33,845.02 and 8,337.92 is: 12,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.31 : 33,845.02 = 8,337.92 : x
  2. Step 2: Convert to fraction form
    22,577.31/33,845.02 = 8,337.92/x
  3. Step 3: Cross multiply
    22,577.31x = 33,845.02 × 8,337.92
  4. Step 4: Simplify right side
    22,577.31x = 282,197,027.47
  5. Step 5: Solve for x
    x = 282,197,027.47/22,577.31
  6. Step 6: Final answer
    x = 12,499.14

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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.