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Finding the Fourth Proportional to 12,557.16, 17,325.90 and 8,082.36

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Solution

The fourth proportional to 12,557.16, 17,325.90 and 8,082.36 is: 11,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.16 : 17,325.90 = 8,082.36 : x
  2. Step 2: Convert to fraction form
    12,557.16/17,325.90 = 8,082.36/x
  3. Step 3: Cross multiply
    12,557.16x = 17,325.90 × 8,082.36
  4. Step 4: Simplify right side
    12,557.16x = 140,034,161.12
  5. Step 5: Solve for x
    x = 140,034,161.12/12,557.16
  6. Step 6: Final answer
    x = 11,151.74

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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.