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Finding the Fourth Proportional to 22,150, 30,570.48 and 14,191.84

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Solution

The fourth proportional to 22,150, 30,570.48 and 14,191.84 is: 19,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,150 : 30,570.48 = 14,191.84 : x
  2. Step 2: Convert to fraction form
    22,150/30,570.48 = 14,191.84/x
  3. Step 3: Cross multiply
    22,150x = 30,570.48 × 14,191.84
  4. Step 4: Simplify right side
    22,150x = 433,851,360.88
  5. Step 5: Solve for x
    x = 433,851,360.88/22,150
  6. Step 6: Final answer
    x = 19,586.97

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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.