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Finding the Fourth Proportional to 16,109.65, 22,231.29 and 9,036.28

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Solution

The fourth proportional to 16,109.65, 22,231.29 and 9,036.28 is: 12,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.65 : 22,231.29 = 9,036.28 : x
  2. Step 2: Convert to fraction form
    16,109.65/22,231.29 = 9,036.28/x
  3. Step 3: Cross multiply
    16,109.65x = 22,231.29 × 9,036.28
  4. Step 4: Simplify right side
    16,109.65x = 200,888,161.20
  5. Step 5: Solve for x
    x = 200,888,161.20/16,109.65
  6. Step 6: Final answer
    x = 12,470.05

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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.