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Finding the Fourth Proportional to 21,824.72, 32,715.16 and 7,022.76

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Solution

The fourth proportional to 21,824.72, 32,715.16 and 7,022.76 is: 10,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.72 : 32,715.16 = 7,022.76 : x
  2. Step 2: Convert to fraction form
    21,824.72/32,715.16 = 7,022.76/x
  3. Step 3: Cross multiply
    21,824.72x = 32,715.16 × 7,022.76
  4. Step 4: Simplify right side
    21,824.72x = 229,750,717.04
  5. Step 5: Solve for x
    x = 229,750,717.04/21,824.72
  6. Step 6: Final answer
    x = 10,527.09

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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.