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Finding the Fourth Proportional to 14,764.47, 20,375.10 and 8,050.16

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Solution

The fourth proportional to 14,764.47, 20,375.10 and 8,050.16 is: 11,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.47 : 20,375.10 = 8,050.16 : x
  2. Step 2: Convert to fraction form
    14,764.47/20,375.10 = 8,050.16/x
  3. Step 3: Cross multiply
    14,764.47x = 20,375.10 × 8,050.16
  4. Step 4: Simplify right side
    14,764.47x = 164,022,713.14
  5. Step 5: Solve for x
    x = 164,022,713.14/14,764.47
  6. Step 6: Final answer
    x = 11,109.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.