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Finding the Fourth Proportional to 16,094.20, 22,209.48 and 9,021

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Solution

The fourth proportional to 16,094.20, 22,209.48 and 9,021 is: 12,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.20 : 22,209.48 = 9,021 : x
  2. Step 2: Convert to fraction form
    16,094.20/22,209.48 = 9,021/x
  3. Step 3: Cross multiply
    16,094.20x = 22,209.48 × 9,021
  4. Step 4: Simplify right side
    16,094.20x = 200,351,719.08
  5. Step 5: Solve for x
    x = 200,351,719.08/16,094.20
  6. Step 6: Final answer
    x = 12,448.69

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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.