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Finding the Fourth Proportional to 21,074.10, 29,082.18 and 11,642.64

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Solution

The fourth proportional to 21,074.10, 29,082.18 and 11,642.64 is: 16,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.10 : 29,082.18 = 11,642.64 : x
  2. Step 2: Convert to fraction form
    21,074.10/29,082.18 = 11,642.64/x
  3. Step 3: Cross multiply
    21,074.10x = 29,082.18 × 11,642.64
  4. Step 4: Simplify right side
    21,074.10x = 338,593,352.16
  5. Step 5: Solve for x
    x = 338,593,352.16/21,074.10
  6. Step 6: Final answer
    x = 16,066.80

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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.