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Finding the Fourth Proportional to 22,647.44, 33,970.94 and 13,765.22

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Solution

The fourth proportional to 22,647.44, 33,970.94 and 13,765.22 is: 20,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.44 : 33,970.94 = 13,765.22 : x
  2. Step 2: Convert to fraction form
    22,647.44/33,970.94 = 13,765.22/x
  3. Step 3: Cross multiply
    22,647.44x = 33,970.94 × 13,765.22
  4. Step 4: Simplify right side
    22,647.44x = 467,617,403.04
  5. Step 5: Solve for x
    x = 467,617,403.04/22,647.44
  6. Step 6: Final answer
    x = 20,647.70

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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.