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Finding the Fourth Proportional to 14,092.94, 21,121.05 and 7,852.70

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Solution

The fourth proportional to 14,092.94, 21,121.05 and 7,852.70 is: 11,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.94 : 21,121.05 = 7,852.70 : x
  2. Step 2: Convert to fraction form
    14,092.94/21,121.05 = 7,852.70/x
  3. Step 3: Cross multiply
    14,092.94x = 21,121.05 × 7,852.70
  4. Step 4: Simplify right side
    14,092.94x = 165,857,351.59
  5. Step 5: Solve for x
    x = 165,857,351.59/14,092.94
  6. Step 6: Final answer
    x = 11,768.82

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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.