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Finding the Fourth Proportional to 12,089.82, 16,684.38 and 7,057.26

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Solution

The fourth proportional to 12,089.82, 16,684.38 and 7,057.26 is: 9,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.82 : 16,684.38 = 7,057.26 : x
  2. Step 2: Convert to fraction form
    12,089.82/16,684.38 = 7,057.26/x
  3. Step 3: Cross multiply
    12,089.82x = 16,684.38 × 7,057.26
  4. Step 4: Simplify right side
    12,089.82x = 117,746,007.60
  5. Step 5: Solve for x
    x = 117,746,007.60/12,089.82
  6. Step 6: Final answer
    x = 9,739.27

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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.