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Finding the Fourth Proportional to 24,212.34, 36,323.37 and 8,629.56

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Solution

The fourth proportional to 24,212.34, 36,323.37 and 8,629.56 is: 12,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.34 : 36,323.37 = 8,629.56 : x
  2. Step 2: Convert to fraction form
    24,212.34/36,323.37 = 8,629.56/x
  3. Step 3: Cross multiply
    24,212.34x = 36,323.37 × 8,629.56
  4. Step 4: Simplify right side
    24,212.34x = 313,454,700.82
  5. Step 5: Solve for x
    x = 313,454,700.82/24,212.34
  6. Step 6: Final answer
    x = 12,946.07

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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.