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Finding the Fourth Proportional to 20,762.60, 31,143.74 and 5,180.22

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Solution

The fourth proportional to 20,762.60, 31,143.74 and 5,180.22 is: 7,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.60 : 31,143.74 = 5,180.22 : x
  2. Step 2: Convert to fraction form
    20,762.60/31,143.74 = 5,180.22/x
  3. Step 3: Cross multiply
    20,762.60x = 31,143.74 × 5,180.22
  4. Step 4: Simplify right side
    20,762.60x = 161,331,398.92
  5. Step 5: Solve for x
    x = 161,331,398.92/20,762.60
  6. Step 6: Final answer
    x = 7,770.29

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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.