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Finding the Fourth Proportional to 22,771.60, 31,430.82 and 20,409.64

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Solution

The fourth proportional to 22,771.60, 31,430.82 and 20,409.64 is: 28,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.60 : 31,430.82 = 20,409.64 : x
  2. Step 2: Convert to fraction form
    22,771.60/31,430.82 = 20,409.64/x
  3. Step 3: Cross multiply
    22,771.60x = 31,430.82 × 20,409.64
  4. Step 4: Simplify right side
    22,771.60x = 641,491,721.10
  5. Step 5: Solve for x
    x = 641,491,721.10/22,771.60
  6. Step 6: Final answer
    x = 28,170.69

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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.