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Finding the Fourth Proportional to 21,024.75, 31,537.13 and 8,551.56

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Solution

The fourth proportional to 21,024.75, 31,537.13 and 8,551.56 is: 12,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024.75 : 31,537.13 = 8,551.56 : x
  2. Step 2: Convert to fraction form
    21,024.75/31,537.13 = 8,551.56/x
  3. Step 3: Cross multiply
    21,024.75x = 31,537.13 × 8,551.56
  4. Step 4: Simplify right side
    21,024.75x = 269,691,616.67
  5. Step 5: Solve for x
    x = 269,691,616.67/21,024.75
  6. Step 6: Final answer
    x = 12,827.34

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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.