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Finding the Fourth Proportional to 16,302.98, 24,455.82 and 5,211.24

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Solution

The fourth proportional to 16,302.98, 24,455.82 and 5,211.24 is: 7,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.98 : 24,455.82 = 5,211.24 : x
  2. Step 2: Convert to fraction form
    16,302.98/24,455.82 = 5,211.24/x
  3. Step 3: Cross multiply
    16,302.98x = 24,455.82 × 5,211.24
  4. Step 4: Simplify right side
    16,302.98x = 127,445,147.42
  5. Step 5: Solve for x
    x = 127,445,147.42/16,302.98
  6. Step 6: Final answer
    x = 7,817.29

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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.