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Finding the Fourth Proportional to 13,507.26, 20,266.97 and 8,575.58

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Solution

The fourth proportional to 13,507.26, 20,266.97 and 8,575.58 is: 12,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.26 : 20,266.97 = 8,575.58 : x
  2. Step 2: Convert to fraction form
    13,507.26/20,266.97 = 8,575.58/x
  3. Step 3: Cross multiply
    13,507.26x = 20,266.97 × 8,575.58
  4. Step 4: Simplify right side
    13,507.26x = 173,800,878.38
  5. Step 5: Solve for x
    x = 173,800,878.38/13,507.26
  6. Step 6: Final answer
    x = 12,867.22

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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.