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Finding the Fourth Proportional to 12,111.71, 16,717.19 and 7,399.94

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Solution

The fourth proportional to 12,111.71, 16,717.19 and 7,399.94 is: 10,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.71 : 16,717.19 = 7,399.94 : x
  2. Step 2: Convert to fraction form
    12,111.71/16,717.19 = 7,399.94/x
  3. Step 3: Cross multiply
    12,111.71x = 16,717.19 × 7,399.94
  4. Step 4: Simplify right side
    12,111.71x = 123,706,082.38
  5. Step 5: Solve for x
    x = 123,706,082.38/12,111.71
  6. Step 6: Final answer
    x = 10,213.76

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Why These Related Problems?

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