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Finding the Fourth Proportional to 12,442.84, 17,177.94 and 9,082.20

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Solution

The fourth proportional to 12,442.84, 17,177.94 and 9,082.20 is: 12,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.84 : 17,177.94 = 9,082.20 : x
  2. Step 2: Convert to fraction form
    12,442.84/17,177.94 = 9,082.20/x
  3. Step 3: Cross multiply
    12,442.84x = 17,177.94 × 9,082.20
  4. Step 4: Simplify right side
    12,442.84x = 156,013,486.67
  5. Step 5: Solve for x
    x = 156,013,486.67/12,442.84
  6. Step 6: Final answer
    x = 12,538.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.