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Finding the Fourth Proportional to 21,563.82, 32,370.33 and 14,453.34

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Solution

The fourth proportional to 21,563.82, 32,370.33 and 14,453.34 is: 21,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.82 : 32,370.33 = 14,453.34 : x
  2. Step 2: Convert to fraction form
    21,563.82/32,370.33 = 14,453.34/x
  3. Step 3: Cross multiply
    21,563.82x = 32,370.33 × 14,453.34
  4. Step 4: Simplify right side
    21,563.82x = 467,859,318.21
  5. Step 5: Solve for x
    x = 467,859,318.21/21,563.82
  6. Step 6: Final answer
    x = 21,696.50

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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.