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Finding the Fourth Proportional to 13,464.24, 18,572.76 and 7,874.16

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Solution

The fourth proportional to 13,464.24, 18,572.76 and 7,874.16 is: 10,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.24 : 18,572.76 = 7,874.16 : x
  2. Step 2: Convert to fraction form
    13,464.24/18,572.76 = 7,874.16/x
  3. Step 3: Cross multiply
    13,464.24x = 18,572.76 × 7,874.16
  4. Step 4: Simplify right side
    13,464.24x = 146,244,883.88
  5. Step 5: Solve for x
    x = 146,244,883.88/13,464.24
  6. Step 6: Final answer
    x = 10,861.73

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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.