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Finding the Fourth Proportional to 21,571.76, 32,344.23 and 9,085.35

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Solution

The fourth proportional to 21,571.76, 32,344.23 and 9,085.35 is: 13,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.76 : 32,344.23 = 9,085.35 : x
  2. Step 2: Convert to fraction form
    21,571.76/32,344.23 = 9,085.35/x
  3. Step 3: Cross multiply
    21,571.76x = 32,344.23 × 9,085.35
  4. Step 4: Simplify right side
    21,571.76x = 293,858,650.03
  5. Step 5: Solve for x
    x = 293,858,650.03/21,571.76
  6. Step 6: Final answer
    x = 13,622.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.