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Finding the Fourth Proportional to 16,090.34, 22,205.27 and 9,016.50

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Solution

The fourth proportional to 16,090.34, 22,205.27 and 9,016.50 is: 12,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.34 : 22,205.27 = 9,016.50 : x
  2. Step 2: Convert to fraction form
    16,090.34/22,205.27 = 9,016.50/x
  3. Step 3: Cross multiply
    16,090.34x = 22,205.27 × 9,016.50
  4. Step 4: Simplify right side
    16,090.34x = 200,213,839.50
  5. Step 5: Solve for x
    x = 200,213,839.50/16,090.34
  6. Step 6: Final answer
    x = 12,443.11

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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.