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Finding the Fourth Proportional to 21,220.56, 31,823.31 and 6,223.51

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Solution

The fourth proportional to 21,220.56, 31,823.31 and 6,223.51 is: 9,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.56 : 31,823.31 = 6,223.51 : x
  2. Step 2: Convert to fraction form
    21,220.56/31,823.31 = 6,223.51/x
  3. Step 3: Cross multiply
    21,220.56x = 31,823.31 × 6,223.51
  4. Step 4: Simplify right side
    21,220.56x = 198,052,751.14
  5. Step 5: Solve for x
    x = 198,052,751.14/21,220.56
  6. Step 6: Final answer
    x = 9,333.06

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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.