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Finding the Fourth Proportional to 15,917.30, 23,874.06 and 4,231.40

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Solution

The fourth proportional to 15,917.30, 23,874.06 and 4,231.40 is: 6,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.30 : 23,874.06 = 4,231.40 : x
  2. Step 2: Convert to fraction form
    15,917.30/23,874.06 = 4,231.40/x
  3. Step 3: Cross multiply
    15,917.30x = 23,874.06 × 4,231.40
  4. Step 4: Simplify right side
    15,917.30x = 101,020,697.48
  5. Step 5: Solve for x
    x = 101,020,697.48/15,917.30
  6. Step 6: Final answer
    x = 6,346.60

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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.