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Finding the Fourth Proportional to 19,885.80, 29,834.27 and 6,739.16

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Solution

The fourth proportional to 19,885.80, 29,834.27 and 6,739.16 is: 10,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.80 : 29,834.27 = 6,739.16 : x
  2. Step 2: Convert to fraction form
    19,885.80/29,834.27 = 6,739.16/x
  3. Step 3: Cross multiply
    19,885.80x = 29,834.27 × 6,739.16
  4. Step 4: Simplify right side
    19,885.80x = 201,057,885.32
  5. Step 5: Solve for x
    x = 201,057,885.32/19,885.80
  6. Step 6: Final answer
    x = 10,110.63

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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.