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Finding the Fourth Proportional to 21,872.70, 32,805.81 and 7,082.91

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Solution

The fourth proportional to 21,872.70, 32,805.81 and 7,082.91 is: 10,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.70 : 32,805.81 = 7,082.91 : x
  2. Step 2: Convert to fraction form
    21,872.70/32,805.81 = 7,082.91/x
  3. Step 3: Cross multiply
    21,872.70x = 32,805.81 × 7,082.91
  4. Step 4: Simplify right side
    21,872.70x = 232,360,599.71
  5. Step 5: Solve for x
    x = 232,360,599.71/21,872.70
  6. Step 6: Final answer
    x = 10,623.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.