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Finding the Fourth Proportional to 16,054.48, 22,154.74 and 8,884.68

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Solution

The fourth proportional to 16,054.48, 22,154.74 and 8,884.68 is: 12,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.48 : 22,154.74 = 8,884.68 : x
  2. Step 2: Convert to fraction form
    16,054.48/22,154.74 = 8,884.68/x
  3. Step 3: Cross multiply
    16,054.48x = 22,154.74 × 8,884.68
  4. Step 4: Simplify right side
    16,054.48x = 196,837,775.38
  5. Step 5: Solve for x
    x = 196,837,775.38/16,054.48
  6. Step 6: Final answer
    x = 12,260.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.