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Finding the Fourth Proportional to 16,452.91, 24,657.09 and 7,563.16

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Solution

The fourth proportional to 16,452.91, 24,657.09 and 7,563.16 is: 11,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.91 : 24,657.09 = 7,563.16 : x
  2. Step 2: Convert to fraction form
    16,452.91/24,657.09 = 7,563.16/x
  3. Step 3: Cross multiply
    16,452.91x = 24,657.09 × 7,563.16
  4. Step 4: Simplify right side
    16,452.91x = 186,485,516.80
  5. Step 5: Solve for x
    x = 186,485,516.80/16,452.91
  6. Step 6: Final answer
    x = 11,334.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.