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Finding the Fourth Proportional to 13,129.26, 19,658.66 and 8,189.08

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Solution

The fourth proportional to 13,129.26, 19,658.66 and 8,189.08 is: 12,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.26 : 19,658.66 = 8,189.08 : x
  2. Step 2: Convert to fraction form
    13,129.26/19,658.66 = 8,189.08/x
  3. Step 3: Cross multiply
    13,129.26x = 19,658.66 × 8,189.08
  4. Step 4: Simplify right side
    13,129.26x = 160,986,339.43
  5. Step 5: Solve for x
    x = 160,986,339.43/13,129.26
  6. Step 6: Final answer
    x = 12,261.65

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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.