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Finding the Fourth Proportional to 19,961, 29,941.38 and 5,169.88

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Solution

The fourth proportional to 19,961, 29,941.38 and 5,169.88 is: 7,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,961 : 29,941.38 = 5,169.88 : x
  2. Step 2: Convert to fraction form
    19,961/29,941.38 = 5,169.88/x
  3. Step 3: Cross multiply
    19,961x = 29,941.38 × 5,169.88
  4. Step 4: Simplify right side
    19,961x = 154,793,341.63
  5. Step 5: Solve for x
    x = 154,793,341.63/19,961
  6. Step 6: Final answer
    x = 7,754.79

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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.