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Finding the Fourth Proportional to 16,195.75, 24,238.75 and 9,959.71

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Solution

The fourth proportional to 16,195.75, 24,238.75 and 9,959.71 is: 14,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.75 : 24,238.75 = 9,959.71 : x
  2. Step 2: Convert to fraction form
    16,195.75/24,238.75 = 9,959.71/x
  3. Step 3: Cross multiply
    16,195.75x = 24,238.75 × 9,959.71
  4. Step 4: Simplify right side
    16,195.75x = 241,410,920.76
  5. Step 5: Solve for x
    x = 241,410,920.76/16,195.75
  6. Step 6: Final answer
    x = 14,905.82

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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.