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Finding the Fourth Proportional to 14,808.78, 22,213.14 and 4,945.80

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Solution

The fourth proportional to 14,808.78, 22,213.14 and 4,945.80 is: 7,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.78 : 22,213.14 = 4,945.80 : x
  2. Step 2: Convert to fraction form
    14,808.78/22,213.14 = 4,945.80/x
  3. Step 3: Cross multiply
    14,808.78x = 22,213.14 × 4,945.80
  4. Step 4: Simplify right side
    14,808.78x = 109,861,747.81
  5. Step 5: Solve for x
    x = 109,861,747.81/14,808.78
  6. Step 6: Final answer
    x = 7,418.69

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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.