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Finding the Fourth Proportional to 16,304.10, 24,454.92 and 5,211.96

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Solution

The fourth proportional to 16,304.10, 24,454.92 and 5,211.96 is: 7,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.10 : 24,454.92 = 5,211.96 : x
  2. Step 2: Convert to fraction form
    16,304.10/24,454.92 = 5,211.96/x
  3. Step 3: Cross multiply
    16,304.10x = 24,454.92 × 5,211.96
  4. Step 4: Simplify right side
    16,304.10x = 127,458,064.84
  5. Step 5: Solve for x
    x = 127,458,064.84/16,304.10
  6. Step 6: Final answer
    x = 7,817.55

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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.