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Finding the Fourth Proportional to 24,802.64, 37,203.18 and 6,082.73

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Solution

The fourth proportional to 24,802.64, 37,203.18 and 6,082.73 is: 9,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.64 : 37,203.18 = 6,082.73 : x
  2. Step 2: Convert to fraction form
    24,802.64/37,203.18 = 6,082.73/x
  3. Step 3: Cross multiply
    24,802.64x = 37,203.18 × 6,082.73
  4. Step 4: Simplify right side
    24,802.64x = 226,296,899.08
  5. Step 5: Solve for x
    x = 226,296,899.08/24,802.64
  6. Step 6: Final answer
    x = 9,123.90

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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.