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Finding the Fourth Proportional to 21,286.49, 31,929.73 and 9,887.27

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Solution

The fourth proportional to 21,286.49, 31,929.73 and 9,887.27 is: 14,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.49 : 31,929.73 = 9,887.27 : x
  2. Step 2: Convert to fraction form
    21,286.49/31,929.73 = 9,887.27/x
  3. Step 3: Cross multiply
    21,286.49x = 31,929.73 × 9,887.27
  4. Step 4: Simplify right side
    21,286.49x = 315,697,916.64
  5. Step 5: Solve for x
    x = 315,697,916.64/21,286.49
  6. Step 6: Final answer
    x = 14,830.91

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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.