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Finding the Fourth Proportional to 21,741, 32,617.20 and 6,950.22

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Solution

The fourth proportional to 21,741, 32,617.20 and 6,950.22 is: 10,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,741 : 32,617.20 = 6,950.22 : x
  2. Step 2: Convert to fraction form
    21,741/32,617.20 = 6,950.22/x
  3. Step 3: Cross multiply
    21,741x = 32,617.20 × 6,950.22
  4. Step 4: Simplify right side
    21,741x = 226,696,715.78
  5. Step 5: Solve for x
    x = 226,696,715.78/21,741
  6. Step 6: Final answer
    x = 10,427.15

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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.