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Finding the Fourth Proportional to 23,724.98, 35,586.24 and 7,085.16

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Solution

The fourth proportional to 23,724.98, 35,586.24 and 7,085.16 is: 10,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.98 : 35,586.24 = 7,085.16 : x
  2. Step 2: Convert to fraction form
    23,724.98/35,586.24 = 7,085.16/x
  3. Step 3: Cross multiply
    23,724.98x = 35,586.24 × 7,085.16
  4. Step 4: Simplify right side
    23,724.98x = 252,134,204.20
  5. Step 5: Solve for x
    x = 252,134,204.20/23,724.98
  6. Step 6: Final answer
    x = 10,627.37

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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.