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Finding the Fourth Proportional to 13,536.90, 18,686.68 and 8,233.42

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Solution

The fourth proportional to 13,536.90, 18,686.68 and 8,233.42 is: 11,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.90 : 18,686.68 = 8,233.42 : x
  2. Step 2: Convert to fraction form
    13,536.90/18,686.68 = 8,233.42/x
  3. Step 3: Cross multiply
    13,536.90x = 18,686.68 × 8,233.42
  4. Step 4: Simplify right side
    13,536.90x = 153,855,284.85
  5. Step 5: Solve for x
    x = 153,855,284.85/13,536.90
  6. Step 6: Final answer
    x = 11,365.62

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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.