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Finding the Fourth Proportional to 21,229.36, 31,844 and 5,646.99

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Solution

The fourth proportional to 21,229.36, 31,844 and 5,646.99 is: 8,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.36 : 31,844 = 5,646.99 : x
  2. Step 2: Convert to fraction form
    21,229.36/31,844 = 5,646.99/x
  3. Step 3: Cross multiply
    21,229.36x = 31,844 × 5,646.99
  4. Step 4: Simplify right side
    21,229.36x = 179,822,749.56
  5. Step 5: Solve for x
    x = 179,822,749.56/21,229.36
  6. Step 6: Final answer
    x = 8,470.47

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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.