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Finding the Fourth Proportional to 19,589.65, 29,389.34 and 9,189.25

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Solution

The fourth proportional to 19,589.65, 29,389.34 and 9,189.25 is: 13,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.65 : 29,389.34 = 9,189.25 : x
  2. Step 2: Convert to fraction form
    19,589.65/29,389.34 = 9,189.25/x
  3. Step 3: Cross multiply
    19,589.65x = 29,389.34 × 9,189.25
  4. Step 4: Simplify right side
    19,589.65x = 270,065,992.60
  5. Step 5: Solve for x
    x = 270,065,992.60/19,589.65
  6. Step 6: Final answer
    x = 13,786.16

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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.