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Finding the Fourth Proportional to 15,896.92, 23,842.66 and 4,211.32

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Solution

The fourth proportional to 15,896.92, 23,842.66 and 4,211.32 is: 6,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.92 : 23,842.66 = 4,211.32 : x
  2. Step 2: Convert to fraction form
    15,896.92/23,842.66 = 4,211.32/x
  3. Step 3: Cross multiply
    15,896.92x = 23,842.66 × 4,211.32
  4. Step 4: Simplify right side
    15,896.92x = 100,409,070.91
  5. Step 5: Solve for x
    x = 100,409,070.91/15,896.92
  6. Step 6: Final answer
    x = 6,316.26

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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.