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Finding the Fourth Proportional to 24,722.01, 37,085.29 and 8,082.13

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Solution

The fourth proportional to 24,722.01, 37,085.29 and 8,082.13 is: 12,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722.01 : 37,085.29 = 8,082.13 : x
  2. Step 2: Convert to fraction form
    24,722.01/37,085.29 = 8,082.13/x
  3. Step 3: Cross multiply
    24,722.01x = 37,085.29 × 8,082.13
  4. Step 4: Simplify right side
    24,722.01x = 299,728,136.95
  5. Step 5: Solve for x
    x = 299,728,136.95/24,722.01
  6. Step 6: Final answer
    x = 12,123.94

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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.