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Finding the Fourth Proportional to 21,229.32, 31,844.03 and 5,646.95

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Solution

The fourth proportional to 21,229.32, 31,844.03 and 5,646.95 is: 8,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.32 : 31,844.03 = 5,646.95 : x
  2. Step 2: Convert to fraction form
    21,229.32/31,844.03 = 5,646.95/x
  3. Step 3: Cross multiply
    21,229.32x = 31,844.03 × 5,646.95
  4. Step 4: Simplify right side
    21,229.32x = 179,821,457.75
  5. Step 5: Solve for x
    x = 179,821,457.75/21,229.32
  6. Step 6: Final answer
    x = 8,470.43

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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.