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Finding the Fourth Proportional to 21,873.17, 32,814.96 and 7,082.09

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Solution

The fourth proportional to 21,873.17, 32,814.96 and 7,082.09 is: 10,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.17 : 32,814.96 = 7,082.09 : x
  2. Step 2: Convert to fraction form
    21,873.17/32,814.96 = 7,082.09/x
  3. Step 3: Cross multiply
    21,873.17x = 32,814.96 × 7,082.09
  4. Step 4: Simplify right side
    21,873.17x = 232,398,335.99
  5. Step 5: Solve for x
    x = 232,398,335.99/21,873.17
  6. Step 6: Final answer
    x = 10,624.82

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1.5x scale

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.