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Finding the Fourth Proportional to 21,082.38, 31,599.72 and 8,599.16

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Solution

The fourth proportional to 21,082.38, 31,599.72 and 8,599.16 is: 12,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.38 : 31,599.72 = 8,599.16 : x
  2. Step 2: Convert to fraction form
    21,082.38/31,599.72 = 8,599.16/x
  3. Step 3: Cross multiply
    21,082.38x = 31,599.72 × 8,599.16
  4. Step 4: Simplify right side
    21,082.38x = 271,731,127.23
  5. Step 5: Solve for x
    x = 271,731,127.23/21,082.38
  6. Step 6: Final answer
    x = 12,889.02

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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.