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Finding the Fourth Proportional to 23,634.96, 35,451.76 and 9,591.24

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Solution

The fourth proportional to 23,634.96, 35,451.76 and 9,591.24 is: 14,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.96 : 35,451.76 = 9,591.24 : x
  2. Step 2: Convert to fraction form
    23,634.96/35,451.76 = 9,591.24/x
  3. Step 3: Cross multiply
    23,634.96x = 35,451.76 × 9,591.24
  4. Step 4: Simplify right side
    23,634.96x = 340,026,338.58
  5. Step 5: Solve for x
    x = 340,026,338.58/23,634.96
  6. Step 6: Final answer
    x = 14,386.58

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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.