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Finding the Fourth Proportional to 13,917.70, 19,206.36 and 7,951.24

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Solution

The fourth proportional to 13,917.70, 19,206.36 and 7,951.24 is: 10,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.70 : 19,206.36 = 7,951.24 : x
  2. Step 2: Convert to fraction form
    13,917.70/19,206.36 = 7,951.24/x
  3. Step 3: Cross multiply
    13,917.70x = 19,206.36 × 7,951.24
  4. Step 4: Simplify right side
    13,917.70x = 152,714,377.89
  5. Step 5: Solve for x
    x = 152,714,377.89/13,917.70
  6. Step 6: Final answer
    x = 10,972.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.