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Finding the Fourth Proportional to 24,675.57, 37,015.71 and 6,906.24

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Solution

The fourth proportional to 24,675.57, 37,015.71 and 6,906.24 is: 10,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.57 : 37,015.71 = 6,906.24 : x
  2. Step 2: Convert to fraction form
    24,675.57/37,015.71 = 6,906.24/x
  3. Step 3: Cross multiply
    24,675.57x = 37,015.71 × 6,906.24
  4. Step 4: Simplify right side
    24,675.57x = 255,639,351.13
  5. Step 5: Solve for x
    x = 255,639,351.13/24,675.57
  6. Step 6: Final answer
    x = 10,360.02

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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.