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Finding the Fourth Proportional to 21,082.80, 31,613.52 and 7,037.82

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Solution

The fourth proportional to 21,082.80, 31,613.52 and 7,037.82 is: 10,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.80 : 31,613.52 = 7,037.82 : x
  2. Step 2: Convert to fraction form
    21,082.80/31,613.52 = 7,037.82/x
  3. Step 3: Cross multiply
    21,082.80x = 31,613.52 × 7,037.82
  4. Step 4: Simplify right side
    21,082.80x = 222,490,263.33
  5. Step 5: Solve for x
    x = 222,490,263.33/21,082.80
  6. Step 6: Final answer
    x = 10,553.16

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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.