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Finding the Fourth Proportional to 15,505.16, 21,396.90 and 8,431.64

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Solution

The fourth proportional to 15,505.16, 21,396.90 and 8,431.64 is: 11,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.16 : 21,396.90 = 8,431.64 : x
  2. Step 2: Convert to fraction form
    15,505.16/21,396.90 = 8,431.64/x
  3. Step 3: Cross multiply
    15,505.16x = 21,396.90 × 8,431.64
  4. Step 4: Simplify right side
    15,505.16x = 180,410,957.92
  5. Step 5: Solve for x
    x = 180,410,957.92/15,505.16
  6. Step 6: Final answer
    x = 11,635.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.