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Finding the Fourth Proportional to 21,655.50, 32,469.24 and 14,237.46

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Solution

The fourth proportional to 21,655.50, 32,469.24 and 14,237.46 is: 21,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.50 : 32,469.24 = 14,237.46 : x
  2. Step 2: Convert to fraction form
    21,655.50/32,469.24 = 14,237.46/x
  3. Step 3: Cross multiply
    21,655.50x = 32,469.24 × 14,237.46
  4. Step 4: Simplify right side
    21,655.50x = 462,279,505.73
  5. Step 5: Solve for x
    x = 462,279,505.73/21,655.50
  6. Step 6: Final answer
    x = 21,346.98

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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.