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Finding the Fourth Proportional to 13,299.72, 19,964.16 and 5,514

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Solution

The fourth proportional to 13,299.72, 19,964.16 and 5,514 is: 8,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.72 : 19,964.16 = 5,514 : x
  2. Step 2: Convert to fraction form
    13,299.72/19,964.16 = 5,514/x
  3. Step 3: Cross multiply
    13,299.72x = 19,964.16 × 5,514
  4. Step 4: Simplify right side
    13,299.72x = 110,082,378.24
  5. Step 5: Solve for x
    x = 110,082,378.24/13,299.72
  6. Step 6: Final answer
    x = 8,277.04

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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.