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Finding the Fourth Proportional to 21,647.52, 32,419.40 and 13,722.48

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Solution

The fourth proportional to 21,647.52, 32,419.40 and 13,722.48 is: 20,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.52 : 32,419.40 = 13,722.48 : x
  2. Step 2: Convert to fraction form
    21,647.52/32,419.40 = 13,722.48/x
  3. Step 3: Cross multiply
    21,647.52x = 32,419.40 × 13,722.48
  4. Step 4: Simplify right side
    21,647.52x = 444,874,499.50
  5. Step 5: Solve for x
    x = 444,874,499.50/21,647.52
  6. Step 6: Final answer
    x = 20,550.83

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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.