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Finding the Fourth Proportional to 11,616.11, 17,446.58 and 9,953.99

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Solution

The fourth proportional to 11,616.11, 17,446.58 and 9,953.99 is: 14,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.11 : 17,446.58 = 9,953.99 : x
  2. Step 2: Convert to fraction form
    11,616.11/17,446.58 = 9,953.99/x
  3. Step 3: Cross multiply
    11,616.11x = 17,446.58 × 9,953.99
  4. Step 4: Simplify right side
    11,616.11x = 173,663,082.85
  5. Step 5: Solve for x
    x = 173,663,082.85/11,616.11
  6. Step 6: Final answer
    x = 14,950.19

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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.