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Finding the Fourth Proportional to 13,536.21, 18,679.91 and 7,567.88

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Solution

The fourth proportional to 13,536.21, 18,679.91 and 7,567.88 is: 10,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.21 : 18,679.91 = 7,567.88 : x
  2. Step 2: Convert to fraction form
    13,536.21/18,679.91 = 7,567.88/x
  3. Step 3: Cross multiply
    13,536.21x = 18,679.91 × 7,567.88
  4. Step 4: Simplify right side
    13,536.21x = 141,367,186.05
  5. Step 5: Solve for x
    x = 141,367,186.05/13,536.21
  6. Step 6: Final answer
    x = 10,443.63

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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.