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Finding the Fourth Proportional to 21,208.80, 31,824.12 and 8,738.04

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Solution

The fourth proportional to 21,208.80, 31,824.12 and 8,738.04 is: 13,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.80 : 31,824.12 = 8,738.04 : x
  2. Step 2: Convert to fraction form
    21,208.80/31,824.12 = 8,738.04/x
  3. Step 3: Cross multiply
    21,208.80x = 31,824.12 × 8,738.04
  4. Step 4: Simplify right side
    21,208.80x = 278,080,433.52
  5. Step 5: Solve for x
    x = 278,080,433.52/21,208.80
  6. Step 6: Final answer
    x = 13,111.56

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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.