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Finding the Fourth Proportional to 13,529, 20,275.68 and 5,728.16

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Solution

The fourth proportional to 13,529, 20,275.68 and 5,728.16 is: 8,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529 : 20,275.68 = 5,728.16 : x
  2. Step 2: Convert to fraction form
    13,529/20,275.68 = 5,728.16/x
  3. Step 3: Cross multiply
    13,529x = 20,275.68 × 5,728.16
  4. Step 4: Simplify right side
    13,529x = 116,142,339.15
  5. Step 5: Solve for x
    x = 116,142,339.15/13,529
  6. Step 6: Final answer
    x = 8,584.70

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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.