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Finding the Fourth Proportional to 21,903, 32,847.54 and 7,108.50

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Solution

The fourth proportional to 21,903, 32,847.54 and 7,108.50 is: 10,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903 : 32,847.54 = 7,108.50 : x
  2. Step 2: Convert to fraction form
    21,903/32,847.54 = 7,108.50/x
  3. Step 3: Cross multiply
    21,903x = 32,847.54 × 7,108.50
  4. Step 4: Simplify right side
    21,903x = 233,496,738.09
  5. Step 5: Solve for x
    x = 233,496,738.09/21,903
  6. Step 6: Final answer
    x = 10,660.49

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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.