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Finding the Fourth Proportional to 16,083, 22,194.54 and 9,009.42

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Solution

The fourth proportional to 16,083, 22,194.54 and 9,009.42 is: 12,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083 : 22,194.54 = 9,009.42 : x
  2. Step 2: Convert to fraction form
    16,083/22,194.54 = 9,009.42/x
  3. Step 3: Cross multiply
    16,083x = 22,194.54 × 9,009.42
  4. Step 4: Simplify right side
    16,083x = 199,959,932.57
  5. Step 5: Solve for x
    x = 199,959,932.57/16,083
  6. Step 6: Final answer
    x = 12,433.00

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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.