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Finding the Fourth Proportional to 23,744.68, 35,634.52 and 11,264.74

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Solution

The fourth proportional to 23,744.68, 35,634.52 and 11,264.74 is: 16,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.68 : 35,634.52 = 11,264.74 : x
  2. Step 2: Convert to fraction form
    23,744.68/35,634.52 = 11,264.74/x
  3. Step 3: Cross multiply
    23,744.68x = 35,634.52 × 11,264.74
  4. Step 4: Simplify right side
    23,744.68x = 401,413,602.82
  5. Step 5: Solve for x
    x = 401,413,602.82/23,744.68
  6. Step 6: Final answer
    x = 16,905.41

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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.