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Finding the Fourth Proportional to 21,149.50, 31,724.79 and 7,110.04

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Solution

The fourth proportional to 21,149.50, 31,724.79 and 7,110.04 is: 10,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.50 : 31,724.79 = 7,110.04 : x
  2. Step 2: Convert to fraction form
    21,149.50/31,724.79 = 7,110.04/x
  3. Step 3: Cross multiply
    21,149.50x = 31,724.79 × 7,110.04
  4. Step 4: Simplify right side
    21,149.50x = 225,564,525.89
  5. Step 5: Solve for x
    x = 225,564,525.89/21,149.50
  6. Step 6: Final answer
    x = 10,665.24

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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.