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Finding the Fourth Proportional to 21,757, 32,635.53 and 5,341

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Solution

The fourth proportional to 21,757, 32,635.53 and 5,341 is: 8,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757 : 32,635.53 = 5,341 : x
  2. Step 2: Convert to fraction form
    21,757/32,635.53 = 5,341/x
  3. Step 3: Cross multiply
    21,757x = 32,635.53 × 5,341
  4. Step 4: Simplify right side
    21,757x = 174,306,365.73
  5. Step 5: Solve for x
    x = 174,306,365.73/21,757
  6. Step 6: Final answer
    x = 8,011.51

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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.