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Finding the Fourth Proportional to 15,754.99, 21,734.24 and 10,085.20

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Solution

The fourth proportional to 15,754.99, 21,734.24 and 10,085.20 is: 13,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.99 : 21,734.24 = 10,085.20 : x
  2. Step 2: Convert to fraction form
    15,754.99/21,734.24 = 10,085.20/x
  3. Step 3: Cross multiply
    15,754.99x = 21,734.24 × 10,085.20
  4. Step 4: Simplify right side
    15,754.99x = 219,194,157.25
  5. Step 5: Solve for x
    x = 219,194,157.25/15,754.99
  6. Step 6: Final answer
    x = 13,912.68

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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.