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Finding the Fourth Proportional to 21,870.56, 32,806.34 and 7,831.54

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Solution

The fourth proportional to 21,870.56, 32,806.34 and 7,831.54 is: 11,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.56 : 32,806.34 = 7,831.54 : x
  2. Step 2: Convert to fraction form
    21,870.56/32,806.34 = 7,831.54/x
  3. Step 3: Cross multiply
    21,870.56x = 32,806.34 × 7,831.54
  4. Step 4: Simplify right side
    21,870.56x = 256,924,163.96
  5. Step 5: Solve for x
    x = 256,924,163.96/21,870.56
  6. Step 6: Final answer
    x = 11,747.49

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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.