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Finding the Fourth Proportional to 16,074.62, 22,190.67 and 10,705.99

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Solution

The fourth proportional to 16,074.62, 22,190.67 and 10,705.99 is: 14,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.62 : 22,190.67 = 10,705.99 : x
  2. Step 2: Convert to fraction form
    16,074.62/22,190.67 = 10,705.99/x
  3. Step 3: Cross multiply
    16,074.62x = 22,190.67 × 10,705.99
  4. Step 4: Simplify right side
    16,074.62x = 237,573,091.11
  5. Step 5: Solve for x
    x = 237,573,091.11/16,074.62
  6. Step 6: Final answer
    x = 14,779.39

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Why These Related Problems?

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