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Finding the Fourth Proportional to 12,536.22, 18,810.46 and 8,862.06

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Solution

The fourth proportional to 12,536.22, 18,810.46 and 8,862.06 is: 13,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.22 : 18,810.46 = 8,862.06 : x
  2. Step 2: Convert to fraction form
    12,536.22/18,810.46 = 8,862.06/x
  3. Step 3: Cross multiply
    12,536.22x = 18,810.46 × 8,862.06
  4. Step 4: Simplify right side
    12,536.22x = 166,699,425.15
  5. Step 5: Solve for x
    x = 166,699,425.15/12,536.22
  6. Step 6: Final answer
    x = 13,297.42

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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.