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Finding the Fourth Proportional to 14,647.75, 20,213.86 and 7,933.38

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Solution

The fourth proportional to 14,647.75, 20,213.86 and 7,933.38 is: 10,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.75 : 20,213.86 = 7,933.38 : x
  2. Step 2: Convert to fraction form
    14,647.75/20,213.86 = 7,933.38/x
  3. Step 3: Cross multiply
    14,647.75x = 20,213.86 × 7,933.38
  4. Step 4: Simplify right side
    14,647.75x = 160,364,232.65
  5. Step 5: Solve for x
    x = 160,364,232.65/14,647.75
  6. Step 6: Final answer
    x = 10,948.05

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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.