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Finding the Fourth Proportional to 16,153.74, 24,232.34 and 6,794.71

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Solution

The fourth proportional to 16,153.74, 24,232.34 and 6,794.71 is: 10,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.74 : 24,232.34 = 6,794.71 : x
  2. Step 2: Convert to fraction form
    16,153.74/24,232.34 = 6,794.71/x
  3. Step 3: Cross multiply
    16,153.74x = 24,232.34 × 6,794.71
  4. Step 4: Simplify right side
    16,153.74x = 164,651,728.37
  5. Step 5: Solve for x
    x = 164,651,728.37/16,153.74
  6. Step 6: Final answer
    x = 10,192.79

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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.