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Finding the Fourth Proportional to 19,759.14, 29,637.09 and 6,609.80

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Solution

The fourth proportional to 19,759.14, 29,637.09 and 6,609.80 is: 9,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.14 : 29,637.09 = 6,609.80 : x
  2. Step 2: Convert to fraction form
    19,759.14/29,637.09 = 6,609.80/x
  3. Step 3: Cross multiply
    19,759.14x = 29,637.09 × 6,609.80
  4. Step 4: Simplify right side
    19,759.14x = 195,895,311.57
  5. Step 5: Solve for x
    x = 195,895,311.57/19,759.14
  6. Step 6: Final answer
    x = 9,914.16

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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.