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Finding the Fourth Proportional to 21,449.84, 31,984.58 and 20,019.92

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Solution

The fourth proportional to 21,449.84, 31,984.58 and 20,019.92 is: 29,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.84 : 31,984.58 = 20,019.92 : x
  2. Step 2: Convert to fraction form
    21,449.84/31,984.58 = 20,019.92/x
  3. Step 3: Cross multiply
    21,449.84x = 31,984.58 × 20,019.92
  4. Step 4: Simplify right side
    21,449.84x = 640,328,732.83
  5. Step 5: Solve for x
    x = 640,328,732.83/21,449.84
  6. Step 6: Final answer
    x = 29,852.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.