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Finding the Fourth Proportional to 21,074.25, 29,082.74 and 11,643.69

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Solution

The fourth proportional to 21,074.25, 29,082.74 and 11,643.69 is: 16,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.25 : 29,082.74 = 11,643.69 : x
  2. Step 2: Convert to fraction form
    21,074.25/29,082.74 = 11,643.69/x
  3. Step 3: Cross multiply
    21,074.25x = 29,082.74 × 11,643.69
  4. Step 4: Simplify right side
    21,074.25x = 338,630,350.69
  5. Step 5: Solve for x
    x = 338,630,350.69/21,074.25
  6. Step 6: Final answer
    x = 16,068.44

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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.