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Finding the Fourth Proportional to 13,906.64, 20,823.50 and 9,532.64

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Solution

The fourth proportional to 13,906.64, 20,823.50 and 9,532.64 is: 14,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.64 : 20,823.50 = 9,532.64 : x
  2. Step 2: Convert to fraction form
    13,906.64/20,823.50 = 9,532.64/x
  3. Step 3: Cross multiply
    13,906.64x = 20,823.50 × 9,532.64
  4. Step 4: Simplify right side
    13,906.64x = 198,502,813.01
  5. Step 5: Solve for x
    x = 198,502,813.01/13,906.64
  6. Step 6: Final answer
    x = 14,273.96

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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.