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Finding the Fourth Proportional to 22,580.92, 31,147.82 and 13,622.68

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Solution

The fourth proportional to 22,580.92, 31,147.82 and 13,622.68 is: 18,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.92 : 31,147.82 = 13,622.68 : x
  2. Step 2: Convert to fraction form
    22,580.92/31,147.82 = 13,622.68/x
  3. Step 3: Cross multiply
    22,580.92x = 31,147.82 × 13,622.68
  4. Step 4: Simplify right side
    22,580.92x = 424,316,784.56
  5. Step 5: Solve for x
    x = 424,316,784.56/22,580.92
  6. Step 6: Final answer
    x = 18,790.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.