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Finding the Fourth Proportional to 20,364.50, 30,527.81 and 7,892.66

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Solution

The fourth proportional to 20,364.50, 30,527.81 and 7,892.66 is: 11,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.50 : 30,527.81 = 7,892.66 : x
  2. Step 2: Convert to fraction form
    20,364.50/30,527.81 = 7,892.66/x
  3. Step 3: Cross multiply
    20,364.50x = 30,527.81 × 7,892.66
  4. Step 4: Simplify right side
    20,364.50x = 240,945,432.77
  5. Step 5: Solve for x
    x = 240,945,432.77/20,364.50
  6. Step 6: Final answer
    x = 11,831.64

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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.