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Finding the Fourth Proportional to 21,811.02, 32,713 and 6,225

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Solution

The fourth proportional to 21,811.02, 32,713 and 6,225 is: 9,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.02 : 32,713 = 6,225 : x
  2. Step 2: Convert to fraction form
    21,811.02/32,713 = 6,225/x
  3. Step 3: Cross multiply
    21,811.02x = 32,713 × 6,225
  4. Step 4: Simplify right side
    21,811.02x = 203,638,425
  5. Step 5: Solve for x
    x = 203,638,425/21,811.02
  6. Step 6: Final answer
    x = 9,336.49

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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.