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Finding the Fourth Proportional to 21,010.57, 31,515.86 and 5,428.20

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Solution

The fourth proportional to 21,010.57, 31,515.86 and 5,428.20 is: 8,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010.57 : 31,515.86 = 5,428.20 : x
  2. Step 2: Convert to fraction form
    21,010.57/31,515.86 = 5,428.20/x
  3. Step 3: Cross multiply
    21,010.57x = 31,515.86 × 5,428.20
  4. Step 4: Simplify right side
    21,010.57x = 171,074,391.25
  5. Step 5: Solve for x
    x = 171,074,391.25/21,010.57
  6. Step 6: Final answer
    x = 8,142.30

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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.