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Finding the Fourth Proportional to 14,921, 22,388.70 and 5,693.48

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Solution

The fourth proportional to 14,921, 22,388.70 and 5,693.48 is: 8,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921 : 22,388.70 = 5,693.48 : x
  2. Step 2: Convert to fraction form
    14,921/22,388.70 = 5,693.48/x
  3. Step 3: Cross multiply
    14,921x = 22,388.70 × 5,693.48
  4. Step 4: Simplify right side
    14,921x = 127,469,615.68
  5. Step 5: Solve for x
    x = 127,469,615.68/14,921
  6. Step 6: Final answer
    x = 8,542.97

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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.