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Finding the Fourth Proportional to 14,678, 22,020.24 and 5,444

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Solution

The fourth proportional to 14,678, 22,020.24 and 5,444 is: 8,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678 : 22,020.24 = 5,444 : x
  2. Step 2: Convert to fraction form
    14,678/22,020.24 = 5,444/x
  3. Step 3: Cross multiply
    14,678x = 22,020.24 × 5,444
  4. Step 4: Simplify right side
    14,678x = 119,878,186.56
  5. Step 5: Solve for x
    x = 119,878,186.56/14,678
  6. Step 6: Final answer
    x = 8,167.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.