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Finding the Fourth Proportional to 12,771.63, 19,175.37 and 6,536.12

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Solution

The fourth proportional to 12,771.63, 19,175.37 and 6,536.12 is: 9,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.63 : 19,175.37 = 6,536.12 : x
  2. Step 2: Convert to fraction form
    12,771.63/19,175.37 = 6,536.12/x
  3. Step 3: Cross multiply
    12,771.63x = 19,175.37 × 6,536.12
  4. Step 4: Simplify right side
    12,771.63x = 125,332,423.49
  5. Step 5: Solve for x
    x = 125,332,423.49/12,771.63
  6. Step 6: Final answer
    x = 9,813.35

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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.