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Finding the Fourth Proportional to 16,085.31, 22,198.64 and 9,014.01

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Solution

The fourth proportional to 16,085.31, 22,198.64 and 9,014.01 is: 12,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.31 : 22,198.64 = 9,014.01 : x
  2. Step 2: Convert to fraction form
    16,085.31/22,198.64 = 9,014.01/x
  3. Step 3: Cross multiply
    16,085.31x = 22,198.64 × 9,014.01
  4. Step 4: Simplify right side
    16,085.31x = 200,098,762.95
  5. Step 5: Solve for x
    x = 200,098,762.95/16,085.31
  6. Step 6: Final answer
    x = 12,439.84

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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.