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Finding the Fourth Proportional to 16,144.38, 22,279.05 and 9,072

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Solution

The fourth proportional to 16,144.38, 22,279.05 and 9,072 is: 12,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.38 : 22,279.05 = 9,072 : x
  2. Step 2: Convert to fraction form
    16,144.38/22,279.05 = 9,072/x
  3. Step 3: Cross multiply
    16,144.38x = 22,279.05 × 9,072
  4. Step 4: Simplify right side
    16,144.38x = 202,115,541.60
  5. Step 5: Solve for x
    x = 202,115,541.60/16,144.38
  6. Step 6: Final answer
    x = 12,519.25

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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.