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Finding the Fourth Proportional to 13,536.57, 18,682.77 and 7,874.60

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Solution

The fourth proportional to 13,536.57, 18,682.77 and 7,874.60 is: 10,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.57 : 18,682.77 = 7,874.60 : x
  2. Step 2: Convert to fraction form
    13,536.57/18,682.77 = 7,874.60/x
  3. Step 3: Cross multiply
    13,536.57x = 18,682.77 × 7,874.60
  4. Step 4: Simplify right side
    13,536.57x = 147,119,207.86
  5. Step 5: Solve for x
    x = 147,119,207.86/13,536.57
  6. Step 6: Final answer
    x = 10,868.28

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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.