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Finding the Fourth Proportional to 22,581.57, 33,887.91 and 7,790.50

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Solution

The fourth proportional to 22,581.57, 33,887.91 and 7,790.50 is: 11,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.57 : 33,887.91 = 7,790.50 : x
  2. Step 2: Convert to fraction form
    22,581.57/33,887.91 = 7,790.50/x
  3. Step 3: Cross multiply
    22,581.57x = 33,887.91 × 7,790.50
  4. Step 4: Simplify right side
    22,581.57x = 264,003,874.96
  5. Step 5: Solve for x
    x = 264,003,874.96/22,581.57
  6. Step 6: Final answer
    x = 11,691.12

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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.