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Finding the Fourth Proportional to 20,313.74, 30,470.57 and 5,524.81

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Solution

The fourth proportional to 20,313.74, 30,470.57 and 5,524.81 is: 8,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.74 : 30,470.57 = 5,524.81 : x
  2. Step 2: Convert to fraction form
    20,313.74/30,470.57 = 5,524.81/x
  3. Step 3: Cross multiply
    20,313.74x = 30,470.57 × 5,524.81
  4. Step 4: Simplify right side
    20,313.74x = 168,343,929.86
  5. Step 5: Solve for x
    x = 168,343,929.86/20,313.74
  6. Step 6: Final answer
    x = 8,287.20

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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.