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Finding the Fourth Proportional to 16,452.54, 24,680.16 and 6,586.44

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Solution

The fourth proportional to 16,452.54, 24,680.16 and 6,586.44 is: 9,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.54 : 24,680.16 = 6,586.44 : x
  2. Step 2: Convert to fraction form
    16,452.54/24,680.16 = 6,586.44/x
  3. Step 3: Cross multiply
    16,452.54x = 24,680.16 × 6,586.44
  4. Step 4: Simplify right side
    16,452.54x = 162,554,393.03
  5. Step 5: Solve for x
    x = 162,554,393.03/16,452.54
  6. Step 6: Final answer
    x = 9,880.20

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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.