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Finding the Fourth Proportional to 12,272.94, 18,396.63 and 5,693.70

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Solution

The fourth proportional to 12,272.94, 18,396.63 and 5,693.70 is: 8,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.94 : 18,396.63 = 5,693.70 : x
  2. Step 2: Convert to fraction form
    12,272.94/18,396.63 = 5,693.70/x
  3. Step 3: Cross multiply
    12,272.94x = 18,396.63 × 5,693.70
  4. Step 4: Simplify right side
    12,272.94x = 104,744,892.23
  5. Step 5: Solve for x
    x = 104,744,892.23/12,272.94
  6. Step 6: Final answer
    x = 8,534.62

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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.