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Finding the Fourth Proportional to 21,997.70, 32,953.35 and 14,999.30

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Solution

The fourth proportional to 21,997.70, 32,953.35 and 14,999.30 is: 22,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.70 : 32,953.35 = 14,999.30 : x
  2. Step 2: Convert to fraction form
    21,997.70/32,953.35 = 14,999.30/x
  3. Step 3: Cross multiply
    21,997.70x = 32,953.35 × 14,999.30
  4. Step 4: Simplify right side
    21,997.70x = 494,277,182.66
  5. Step 5: Solve for x
    x = 494,277,182.66/21,997.70
  6. Step 6: Final answer
    x = 22,469.49

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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.