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Finding the Fourth Proportional to 15,754.13, 21,740.76 and 8,680.40

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Solution

The fourth proportional to 15,754.13, 21,740.76 and 8,680.40 is: 11,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.13 : 21,740.76 = 8,680.40 : x
  2. Step 2: Convert to fraction form
    15,754.13/21,740.76 = 8,680.40/x
  3. Step 3: Cross multiply
    15,754.13x = 21,740.76 × 8,680.40
  4. Step 4: Simplify right side
    15,754.13x = 188,718,493.10
  5. Step 5: Solve for x
    x = 188,718,493.10/15,754.13
  6. Step 6: Final answer
    x = 11,978.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.