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Finding the Fourth Proportional to 16,344, 22,555.08 and 8,892

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Solution

The fourth proportional to 16,344, 22,555.08 and 8,892 is: 12,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 22,555.08 = 8,892 : x
  2. Step 2: Convert to fraction form
    16,344/22,555.08 = 8,892/x
  3. Step 3: Cross multiply
    16,344x = 22,555.08 × 8,892
  4. Step 4: Simplify right side
    16,344x = 200,559,771.36
  5. Step 5: Solve for x
    x = 200,559,771.36/16,344
  6. Step 6: Final answer
    x = 12,271.16

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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.