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Finding the Fourth Proportional to 21,279.30, 31,916.49 and 5,698.14

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Solution

The fourth proportional to 21,279.30, 31,916.49 and 5,698.14 is: 8,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,279.30 : 31,916.49 = 5,698.14 : x
  2. Step 2: Convert to fraction form
    21,279.30/31,916.49 = 5,698.14/x
  3. Step 3: Cross multiply
    21,279.30x = 31,916.49 × 5,698.14
  4. Step 4: Simplify right side
    21,279.30x = 181,864,628.33
  5. Step 5: Solve for x
    x = 181,864,628.33/21,279.30
  6. Step 6: Final answer
    x = 8,546.55

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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.