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Finding the Fourth Proportional to 15,843.29, 23,765.12 and 4,157.69

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Solution

The fourth proportional to 15,843.29, 23,765.12 and 4,157.69 is: 6,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.29 : 23,765.12 = 4,157.69 : x
  2. Step 2: Convert to fraction form
    15,843.29/23,765.12 = 4,157.69/x
  3. Step 3: Cross multiply
    15,843.29x = 23,765.12 × 4,157.69
  4. Step 4: Simplify right side
    15,843.29x = 98,807,980.98
  5. Step 5: Solve for x
    x = 98,807,980.98/15,843.29
  6. Step 6: Final answer
    x = 6,236.58

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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.