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Finding the Fourth Proportional to 16,151.44, 22,289.07 and 9,077.80

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Solution

The fourth proportional to 16,151.44, 22,289.07 and 9,077.80 is: 12,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.44 : 22,289.07 = 9,077.80 : x
  2. Step 2: Convert to fraction form
    16,151.44/22,289.07 = 9,077.80/x
  3. Step 3: Cross multiply
    16,151.44x = 22,289.07 × 9,077.80
  4. Step 4: Simplify right side
    16,151.44x = 202,335,719.65
  5. Step 5: Solve for x
    x = 202,335,719.65/16,151.44
  6. Step 6: Final answer
    x = 12,527.41

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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.