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Finding the Fourth Proportional to 16,158.30, 22,299.75 and 9,084.30

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Solution

The fourth proportional to 16,158.30, 22,299.75 and 9,084.30 is: 12,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.30 : 22,299.75 = 9,084.30 : x
  2. Step 2: Convert to fraction form
    16,158.30/22,299.75 = 9,084.30/x
  3. Step 3: Cross multiply
    16,158.30x = 22,299.75 × 9,084.30
  4. Step 4: Simplify right side
    16,158.30x = 202,577,618.93
  5. Step 5: Solve for x
    x = 202,577,618.93/16,158.30
  6. Step 6: Final answer
    x = 12,537.06

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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.