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Finding the Fourth Proportional to 10,157.67, 15,236.51 and 3,232.17

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Solution

The fourth proportional to 10,157.67, 15,236.51 and 3,232.17 is: 4,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.67 : 15,236.51 = 3,232.17 : x
  2. Step 2: Convert to fraction form
    10,157.67/15,236.51 = 3,232.17/x
  3. Step 3: Cross multiply
    10,157.67x = 15,236.51 × 3,232.17
  4. Step 4: Simplify right side
    10,157.67x = 49,246,974.37
  5. Step 5: Solve for x
    x = 49,246,974.37/10,157.67
  6. Step 6: Final answer
    x = 4,848.26

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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.