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Finding the Fourth Proportional to 14,059.96, 21,082.62 and 5,735.32

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Solution

The fourth proportional to 14,059.96, 21,082.62 and 5,735.32 is: 8,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.96 : 21,082.62 = 5,735.32 : x
  2. Step 2: Convert to fraction form
    14,059.96/21,082.62 = 5,735.32/x
  3. Step 3: Cross multiply
    14,059.96x = 21,082.62 × 5,735.32
  4. Step 4: Simplify right side
    14,059.96x = 120,915,572.14
  5. Step 5: Solve for x
    x = 120,915,572.14/14,059.96
  6. Step 6: Final answer
    x = 8,599.99

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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.