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Finding the Fourth Proportional to 16,157.88, 22,297.77 and 9,084.24

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Solution

The fourth proportional to 16,157.88, 22,297.77 and 9,084.24 is: 12,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.88 : 22,297.77 = 9,084.24 : x
  2. Step 2: Convert to fraction form
    16,157.88/22,297.77 = 9,084.24/x
  3. Step 3: Cross multiply
    16,157.88x = 22,297.77 × 9,084.24
  4. Step 4: Simplify right side
    16,157.88x = 202,558,294.14
  5. Step 5: Solve for x
    x = 202,558,294.14/16,157.88
  6. Step 6: Final answer
    x = 12,536.19

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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.