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Finding the Fourth Proportional to 21,935.40, 32,895.90 and 8,082.60

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Solution

The fourth proportional to 21,935.40, 32,895.90 and 8,082.60 is: 12,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.40 : 32,895.90 = 8,082.60 : x
  2. Step 2: Convert to fraction form
    21,935.40/32,895.90 = 8,082.60/x
  3. Step 3: Cross multiply
    21,935.40x = 32,895.90 × 8,082.60
  4. Step 4: Simplify right side
    21,935.40x = 265,884,401.34
  5. Step 5: Solve for x
    x = 265,884,401.34/21,935.40
  6. Step 6: Final answer
    x = 12,121.25

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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.