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Finding the Fourth Proportional to 21,872.70, 32,813.10 and 7,082.10

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Solution

The fourth proportional to 21,872.70, 32,813.10 and 7,082.10 is: 10,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.70 : 32,813.10 = 7,082.10 : x
  2. Step 2: Convert to fraction form
    21,872.70/32,813.10 = 7,082.10/x
  3. Step 3: Cross multiply
    21,872.70x = 32,813.10 × 7,082.10
  4. Step 4: Simplify right side
    21,872.70x = 232,385,655.51
  5. Step 5: Solve for x
    x = 232,385,655.51/21,872.70
  6. Step 6: Final answer
    x = 10,624.46

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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.