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Finding the Fourth Proportional to 13,855.50, 20,792.37 and 6,064.32

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Solution

The fourth proportional to 13,855.50, 20,792.37 and 6,064.32 is: 9,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.50 : 20,792.37 = 6,064.32 : x
  2. Step 2: Convert to fraction form
    13,855.50/20,792.37 = 6,064.32/x
  3. Step 3: Cross multiply
    13,855.50x = 20,792.37 × 6,064.32
  4. Step 4: Simplify right side
    13,855.50x = 126,091,585.24
  5. Step 5: Solve for x
    x = 126,091,585.24/13,855.50
  6. Step 6: Final answer
    x = 9,100.47

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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.