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Finding the Fourth Proportional to 14,092.94, 21,137.72 and 3,705.50

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Solution

The fourth proportional to 14,092.94, 21,137.72 and 3,705.50 is: 5,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.94 : 21,137.72 = 3,705.50 : x
  2. Step 2: Convert to fraction form
    14,092.94/21,137.72 = 3,705.50/x
  3. Step 3: Cross multiply
    14,092.94x = 21,137.72 × 3,705.50
  4. Step 4: Simplify right side
    14,092.94x = 78,325,725.04
  5. Step 5: Solve for x
    x = 78,325,725.04/14,092.94
  6. Step 6: Final answer
    x = 5,557.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.