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Finding the Fourth Proportional to 12,744.62, 19,108.65 and 4,424

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Solution

The fourth proportional to 12,744.62, 19,108.65 and 4,424 is: 6,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.62 : 19,108.65 = 4,424 : x
  2. Step 2: Convert to fraction form
    12,744.62/19,108.65 = 4,424/x
  3. Step 3: Cross multiply
    12,744.62x = 19,108.65 × 4,424
  4. Step 4: Simplify right side
    12,744.62x = 84,536,667.60
  5. Step 5: Solve for x
    x = 84,536,667.60/12,744.62
  6. Step 6: Final answer
    x = 6,633.13

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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.