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Finding the Fourth Proportional to 16,083.10, 22,194.63 and 9,009.52

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Solution

The fourth proportional to 16,083.10, 22,194.63 and 9,009.52 is: 12,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.10 : 22,194.63 = 9,009.52 : x
  2. Step 2: Convert to fraction form
    16,083.10/22,194.63 = 9,009.52/x
  3. Step 3: Cross multiply
    16,083.10x = 22,194.63 × 9,009.52
  4. Step 4: Simplify right side
    16,083.10x = 199,962,962.88
  5. Step 5: Solve for x
    x = 199,962,962.88/16,083.10
  6. Step 6: Final answer
    x = 12,433.11

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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.