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Finding the Fourth Proportional to 21,431.40, 32,142.06 and 5,845.32

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Solution

The fourth proportional to 21,431.40, 32,142.06 and 5,845.32 is: 8,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.40 : 32,142.06 = 5,845.32 : x
  2. Step 2: Convert to fraction form
    21,431.40/32,142.06 = 5,845.32/x
  3. Step 3: Cross multiply
    21,431.40x = 32,142.06 × 5,845.32
  4. Step 4: Simplify right side
    21,431.40x = 187,880,626.16
  5. Step 5: Solve for x
    x = 187,880,626.16/21,431.40
  6. Step 6: Final answer
    x = 8,766.61

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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.