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Finding the Fourth Proportional to 21,811, 32,715.78 and 7,020.76

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Solution

The fourth proportional to 21,811, 32,715.78 and 7,020.76 is: 10,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811 : 32,715.78 = 7,020.76 : x
  2. Step 2: Convert to fraction form
    21,811/32,715.78 = 7,020.76/x
  3. Step 3: Cross multiply
    21,811x = 32,715.78 × 7,020.76
  4. Step 4: Simplify right side
    21,811x = 229,689,639.59
  5. Step 5: Solve for x
    x = 229,689,639.59/21,811
  6. Step 6: Final answer
    x = 10,530.91

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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.