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Finding the Fourth Proportional to 18,261.26, 27,402.60 and 7,730.63

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Solution

The fourth proportional to 18,261.26, 27,402.60 and 7,730.63 is: 11,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261.26 : 27,402.60 = 7,730.63 : x
  2. Step 2: Convert to fraction form
    18,261.26/27,402.60 = 7,730.63/x
  3. Step 3: Cross multiply
    18,261.26x = 27,402.60 × 7,730.63
  4. Step 4: Simplify right side
    18,261.26x = 211,839,224.63
  5. Step 5: Solve for x
    x = 211,839,224.63/18,261.26
  6. Step 6: Final answer
    x = 11,600.47

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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.