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Finding the Fourth Proportional to 14,644.74, 20,202.75 and 14,078.94

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Solution

The fourth proportional to 14,644.74, 20,202.75 and 14,078.94 is: 19,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.74 : 20,202.75 = 14,078.94 : x
  2. Step 2: Convert to fraction form
    14,644.74/20,202.75 = 14,078.94/x
  3. Step 3: Cross multiply
    14,644.74x = 20,202.75 × 14,078.94
  4. Step 4: Simplify right side
    14,644.74x = 284,433,305.09
  5. Step 5: Solve for x
    x = 284,433,305.09/14,644.74
  6. Step 6: Final answer
    x = 19,422.22

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1.5x scale

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.