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Finding the Fourth Proportional to 16,157.97, 22,297.94 and 9,442.25

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Solution

The fourth proportional to 16,157.97, 22,297.94 and 9,442.25 is: 13,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.97 : 22,297.94 = 9,442.25 : x
  2. Step 2: Convert to fraction form
    16,157.97/22,297.94 = 9,442.25/x
  3. Step 3: Cross multiply
    16,157.97x = 22,297.94 × 9,442.25
  4. Step 4: Simplify right side
    16,157.97x = 210,542,565.26
  5. Step 5: Solve for x
    x = 210,542,565.26/16,157.97
  6. Step 6: Final answer
    x = 13,030.26

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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.