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Finding the Fourth Proportional to 16,084.88, 22,198.02 and 9,012.32

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Solution

The fourth proportional to 16,084.88, 22,198.02 and 9,012.32 is: 12,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.88 : 22,198.02 = 9,012.32 : x
  2. Step 2: Convert to fraction form
    16,084.88/22,198.02 = 9,012.32/x
  3. Step 3: Cross multiply
    16,084.88x = 22,198.02 × 9,012.32
  4. Step 4: Simplify right side
    16,084.88x = 200,055,659.61
  5. Step 5: Solve for x
    x = 200,055,659.61/16,084.88
  6. Step 6: Final answer
    x = 12,437.50

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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.