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Finding the Fourth Proportional to 20,699.28, 31,024.26 and 11,916

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Solution

The fourth proportional to 20,699.28, 31,024.26 and 11,916 is: 17,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699.28 : 31,024.26 = 11,916 : x
  2. Step 2: Convert to fraction form
    20,699.28/31,024.26 = 11,916/x
  3. Step 3: Cross multiply
    20,699.28x = 31,024.26 × 11,916
  4. Step 4: Simplify right side
    20,699.28x = 369,685,082.16
  5. Step 5: Solve for x
    x = 369,685,082.16/20,699.28
  6. Step 6: Final answer
    x = 17,859.80

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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.