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Finding the Fourth Proportional to 16,119.96, 22,245.68 and 9,048.05

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Solution

The fourth proportional to 16,119.96, 22,245.68 and 9,048.05 is: 12,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.96 : 22,245.68 = 9,048.05 : x
  2. Step 2: Convert to fraction form
    16,119.96/22,245.68 = 9,048.05/x
  3. Step 3: Cross multiply
    16,119.96x = 22,245.68 × 9,048.05
  4. Step 4: Simplify right side
    16,119.96x = 201,279,979.68
  5. Step 5: Solve for x
    x = 201,279,979.68/16,119.96
  6. Step 6: Final answer
    x = 12,486.38

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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.