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Finding the Fourth Proportional to 20,232.84, 30,352.08 and 7,082.22

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Solution

The fourth proportional to 20,232.84, 30,352.08 and 7,082.22 is: 10,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.84 : 30,352.08 = 7,082.22 : x
  2. Step 2: Convert to fraction form
    20,232.84/30,352.08 = 7,082.22/x
  3. Step 3: Cross multiply
    20,232.84x = 30,352.08 × 7,082.22
  4. Step 4: Simplify right side
    20,232.84x = 214,960,108.02
  5. Step 5: Solve for x
    x = 214,960,108.02/20,232.84
  6. Step 6: Final answer
    x = 10,624.32

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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.