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Finding the Fourth Proportional to 21,025.57, 31,537.67 and 8,541.90

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Solution

The fourth proportional to 21,025.57, 31,537.67 and 8,541.90 is: 12,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025.57 : 31,537.67 = 8,541.90 : x
  2. Step 2: Convert to fraction form
    21,025.57/31,537.67 = 8,541.90/x
  3. Step 3: Cross multiply
    21,025.57x = 31,537.67 × 8,541.90
  4. Step 4: Simplify right side
    21,025.57x = 269,391,580.66
  5. Step 5: Solve for x
    x = 269,391,580.66/21,025.57
  6. Step 6: Final answer
    x = 12,812.57

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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.