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Finding the Fourth Proportional to 19,474.14, 29,211.23 and 5,434.20

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Solution

The fourth proportional to 19,474.14, 29,211.23 and 5,434.20 is: 8,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.14 : 29,211.23 = 5,434.20 : x
  2. Step 2: Convert to fraction form
    19,474.14/29,211.23 = 5,434.20/x
  3. Step 3: Cross multiply
    19,474.14x = 29,211.23 × 5,434.20
  4. Step 4: Simplify right side
    19,474.14x = 158,739,638.90
  5. Step 5: Solve for x
    x = 158,739,638.90/19,474.14
  6. Step 6: Final answer
    x = 8,151.30

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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.