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Finding the Fourth Proportional to 21,113.73, 31,657.80 and 10,571.49

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Solution

The fourth proportional to 21,113.73, 31,657.80 and 10,571.49 is: 15,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.73 : 31,657.80 = 10,571.49 : x
  2. Step 2: Convert to fraction form
    21,113.73/31,657.80 = 10,571.49/x
  3. Step 3: Cross multiply
    21,113.73x = 31,657.80 × 10,571.49
  4. Step 4: Simplify right side
    21,113.73x = 334,670,116.12
  5. Step 5: Solve for x
    x = 334,670,116.12/21,113.73
  6. Step 6: Final answer
    x = 15,850.83

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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.