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Finding the Fourth Proportional to 21,805, 32,707.82 and 6,222.63

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Solution

The fourth proportional to 21,805, 32,707.82 and 6,222.63 is: 9,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805 : 32,707.82 = 6,222.63 : x
  2. Step 2: Convert to fraction form
    21,805/32,707.82 = 6,222.63/x
  3. Step 3: Cross multiply
    21,805x = 32,707.82 × 6,222.63
  4. Step 4: Simplify right side
    21,805x = 203,528,661.97
  5. Step 5: Solve for x
    x = 203,528,661.97/21,805
  6. Step 6: Final answer
    x = 9,334.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.