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Finding the Fourth Proportional to 21,194.03, 31,794.39 and 6,401.10

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Solution

The fourth proportional to 21,194.03, 31,794.39 and 6,401.10 is: 9,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.03 : 31,794.39 = 6,401.10 : x
  2. Step 2: Convert to fraction form
    21,194.03/31,794.39 = 6,401.10/x
  3. Step 3: Cross multiply
    21,194.03x = 31,794.39 × 6,401.10
  4. Step 4: Simplify right side
    21,194.03x = 203,519,069.83
  5. Step 5: Solve for x
    x = 203,519,069.83/21,194.03
  6. Step 6: Final answer
    x = 9,602.66

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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.