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Finding the Fourth Proportional to 21,224, 31,611.80 and 20,113.76

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Solution

The fourth proportional to 21,224, 31,611.80 and 20,113.76 is: 29,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224 : 31,611.80 = 20,113.76 : x
  2. Step 2: Convert to fraction form
    21,224/31,611.80 = 20,113.76/x
  3. Step 3: Cross multiply
    21,224x = 31,611.80 × 20,113.76
  4. Step 4: Simplify right side
    21,224x = 635,832,158.37
  5. Step 5: Solve for x
    x = 635,832,158.37/21,224
  6. Step 6: Final answer
    x = 29,958.17

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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.