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Finding the Fourth Proportional to 15,850.48, 23,775.68 and 6,494.86

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Solution

The fourth proportional to 15,850.48, 23,775.68 and 6,494.86 is: 9,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.48 : 23,775.68 = 6,494.86 : x
  2. Step 2: Convert to fraction form
    15,850.48/23,775.68 = 6,494.86/x
  3. Step 3: Cross multiply
    15,850.48x = 23,775.68 × 6,494.86
  4. Step 4: Simplify right side
    15,850.48x = 154,419,713.00
  5. Step 5: Solve for x
    x = 154,419,713.00/15,850.48
  6. Step 6: Final answer
    x = 9,742.27

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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.