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Finding the Fourth Proportional to 16,157.82, 22,299.86 and 9,085.60

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Solution

The fourth proportional to 16,157.82, 22,299.86 and 9,085.60 is: 12,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.82 : 22,299.86 = 9,085.60 : x
  2. Step 2: Convert to fraction form
    16,157.82/22,299.86 = 9,085.60/x
  3. Step 3: Cross multiply
    16,157.82x = 22,299.86 × 9,085.60
  4. Step 4: Simplify right side
    16,157.82x = 202,607,608.02
  5. Step 5: Solve for x
    x = 202,607,608.02/16,157.82
  6. Step 6: Final answer
    x = 12,539.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.