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Finding the Fourth Proportional to 10,224.06, 15,323.34 and 8,831.70

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Solution

The fourth proportional to 10,224.06, 15,323.34 and 8,831.70 is: 13,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.06 : 15,323.34 = 8,831.70 : x
  2. Step 2: Convert to fraction form
    10,224.06/15,323.34 = 8,831.70/x
  3. Step 3: Cross multiply
    10,224.06x = 15,323.34 × 8,831.70
  4. Step 4: Simplify right side
    10,224.06x = 135,331,141.88
  5. Step 5: Solve for x
    x = 135,331,141.88/10,224.06
  6. Step 6: Final answer
    x = 13,236.54

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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.