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Finding the Fourth Proportional to 14,425, 21,637.52 and 3,481

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Solution

The fourth proportional to 14,425, 21,637.52 and 3,481 is: 5,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425 : 21,637.52 = 3,481 : x
  2. Step 2: Convert to fraction form
    14,425/21,637.52 = 3,481/x
  3. Step 3: Cross multiply
    14,425x = 21,637.52 × 3,481
  4. Step 4: Simplify right side
    14,425x = 75,320,207.12
  5. Step 5: Solve for x
    x = 75,320,207.12/14,425
  6. Step 6: Final answer
    x = 5,221.50

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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.