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Finding the Fourth Proportional to 21,202.74, 31,818.69 and 7,351.74

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Solution

The fourth proportional to 21,202.74, 31,818.69 and 7,351.74 is: 11,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.74 : 31,818.69 = 7,351.74 : x
  2. Step 2: Convert to fraction form
    21,202.74/31,818.69 = 7,351.74/x
  3. Step 3: Cross multiply
    21,202.74x = 31,818.69 × 7,351.74
  4. Step 4: Simplify right side
    21,202.74x = 233,922,736.02
  5. Step 5: Solve for x
    x = 233,922,736.02/21,202.74
  6. Step 6: Final answer
    x = 11,032.67

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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.