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Finding the Fourth Proportional to 24,802.14, 37,202.42 and 6,082.22

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Solution

The fourth proportional to 24,802.14, 37,202.42 and 6,082.22 is: 9,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.14 : 37,202.42 = 6,082.22 : x
  2. Step 2: Convert to fraction form
    24,802.14/37,202.42 = 6,082.22/x
  3. Step 3: Cross multiply
    24,802.14x = 37,202.42 × 6,082.22
  4. Step 4: Simplify right side
    24,802.14x = 226,273,302.97
  5. Step 5: Solve for x
    x = 226,273,302.97/24,802.14
  6. Step 6: Final answer
    x = 9,123.14

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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.