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Finding the Fourth Proportional to 11,643.22, 17,494 and 10,943.38

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Solution

The fourth proportional to 11,643.22, 17,494 and 10,943.38 is: 16,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.22 : 17,494 = 10,943.38 : x
  2. Step 2: Convert to fraction form
    11,643.22/17,494 = 10,943.38/x
  3. Step 3: Cross multiply
    11,643.22x = 17,494 × 10,943.38
  4. Step 4: Simplify right side
    11,643.22x = 191,443,489.72
  5. Step 5: Solve for x
    x = 191,443,489.72/11,643.22
  6. Step 6: Final answer
    x = 16,442.49

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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.