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Finding the Fourth Proportional to 13,567.26, 18,717.57 and 8,260.14

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Solution

The fourth proportional to 13,567.26, 18,717.57 and 8,260.14 is: 11,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.26 : 18,717.57 = 8,260.14 : x
  2. Step 2: Convert to fraction form
    13,567.26/18,717.57 = 8,260.14/x
  3. Step 3: Cross multiply
    13,567.26x = 18,717.57 × 8,260.14
  4. Step 4: Simplify right side
    13,567.26x = 154,609,748.66
  5. Step 5: Solve for x
    x = 154,609,748.66/13,567.26
  6. Step 6: Final answer
    x = 11,395.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.