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Finding the Fourth Proportional to 16,157.52, 22,297.56 and 9,084.12

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Solution

The fourth proportional to 16,157.52, 22,297.56 and 9,084.12 is: 12,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.52 : 22,297.56 = 9,084.12 : x
  2. Step 2: Convert to fraction form
    16,157.52/22,297.56 = 9,084.12/x
  3. Step 3: Cross multiply
    16,157.52x = 22,297.56 × 9,084.12
  4. Step 4: Simplify right side
    16,157.52x = 202,553,710.75
  5. Step 5: Solve for x
    x = 202,553,710.75/16,157.52
  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.