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Finding the Fourth Proportional to 21,108.97, 31,640.67 and 13,718.74

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Solution

The fourth proportional to 21,108.97, 31,640.67 and 13,718.74 is: 20,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108.97 : 31,640.67 = 13,718.74 : x
  2. Step 2: Convert to fraction form
    21,108.97/31,640.67 = 13,718.74/x
  3. Step 3: Cross multiply
    21,108.97x = 31,640.67 × 13,718.74
  4. Step 4: Simplify right side
    21,108.97x = 434,070,125.16
  5. Step 5: Solve for x
    x = 434,070,125.16/21,108.97
  6. Step 6: Final answer
    x = 20,563.30

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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.