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Finding the Fourth Proportional to 16,249.54, 22,422.33 and 9,077.74

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Solution

The fourth proportional to 16,249.54, 22,422.33 and 9,077.74 is: 12,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.54 : 22,422.33 = 9,077.74 : x
  2. Step 2: Convert to fraction form
    16,249.54/22,422.33 = 9,077.74/x
  3. Step 3: Cross multiply
    16,249.54x = 22,422.33 × 9,077.74
  4. Step 4: Simplify right side
    16,249.54x = 203,544,081.93
  5. Step 5: Solve for x
    x = 203,544,081.93/16,249.54
  6. Step 6: Final answer
    x = 12,526.14

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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.