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Finding the Fourth Proportional to 24,735.43, 37,107.74 and 8,107.14

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Solution

The fourth proportional to 24,735.43, 37,107.74 and 8,107.14 is: 12,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.43 : 37,107.74 = 8,107.14 : x
  2. Step 2: Convert to fraction form
    24,735.43/37,107.74 = 8,107.14/x
  3. Step 3: Cross multiply
    24,735.43x = 37,107.74 × 8,107.14
  4. Step 4: Simplify right side
    24,735.43x = 300,837,643.26
  5. Step 5: Solve for x
    x = 300,837,643.26/24,735.43
  6. Step 6: Final answer
    x = 12,162.22

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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.