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Finding the Fourth Proportional to 16,109.97, 22,231.73 and 9,036.40

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Solution

The fourth proportional to 16,109.97, 22,231.73 and 9,036.40 is: 12,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.97 : 22,231.73 = 9,036.40 : x
  2. Step 2: Convert to fraction form
    16,109.97/22,231.73 = 9,036.40/x
  3. Step 3: Cross multiply
    16,109.97x = 22,231.73 × 9,036.40
  4. Step 4: Simplify right side
    16,109.97x = 200,894,648.63
  5. Step 5: Solve for x
    x = 200,894,648.63/16,109.97
  6. Step 6: Final answer
    x = 12,470.21

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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.