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Finding the Fourth Proportional to 21,082.86, 29,096.16 and 11,653.23

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Solution

The fourth proportional to 21,082.86, 29,096.16 and 11,653.23 is: 16,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.86 : 29,096.16 = 11,653.23 : x
  2. Step 2: Convert to fraction form
    21,082.86/29,096.16 = 11,653.23/x
  3. Step 3: Cross multiply
    21,082.86x = 29,096.16 × 11,653.23
  4. Step 4: Simplify right side
    21,082.86x = 339,064,244.60
  5. Step 5: Solve for x
    x = 339,064,244.60/21,082.86
  6. Step 6: Final answer
    x = 16,082.46

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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.