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Finding the Fourth Proportional to 16,129.83, 22,255.53 and 9,055.78

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Solution

The fourth proportional to 16,129.83, 22,255.53 and 9,055.78 is: 12,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.83 : 22,255.53 = 9,055.78 : x
  2. Step 2: Convert to fraction form
    16,129.83/22,255.53 = 9,055.78/x
  3. Step 3: Cross multiply
    16,129.83x = 22,255.53 × 9,055.78
  4. Step 4: Simplify right side
    16,129.83x = 201,541,183.46
  5. Step 5: Solve for x
    x = 201,541,183.46/16,129.83
  6. Step 6: Final answer
    x = 12,494.94

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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.