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Finding the Fourth Proportional to 16,454.26, 24,734.91 and 13,202.98

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Solution

The fourth proportional to 16,454.26, 24,734.91 and 13,202.98 is: 19,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.26 : 24,734.91 = 13,202.98 : x
  2. Step 2: Convert to fraction form
    16,454.26/24,734.91 = 13,202.98/x
  3. Step 3: Cross multiply
    16,454.26x = 24,734.91 × 13,202.98
  4. Step 4: Simplify right side
    16,454.26x = 326,574,522.03
  5. Step 5: Solve for x
    x = 326,574,522.03/16,454.26
  6. Step 6: Final answer
    x = 19,847.41

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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.