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Finding the Fourth Proportional to 12,911.64, 19,367.52 and 3,677.64

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Solution

The fourth proportional to 12,911.64, 19,367.52 and 3,677.64 is: 5,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.64 : 19,367.52 = 3,677.64 : x
  2. Step 2: Convert to fraction form
    12,911.64/19,367.52 = 3,677.64/x
  3. Step 3: Cross multiply
    12,911.64x = 19,367.52 × 3,677.64
  4. Step 4: Simplify right side
    12,911.64x = 71,226,766.25
  5. Step 5: Solve for x
    x = 71,226,766.25/12,911.64
  6. Step 6: Final answer
    x = 5,516.48

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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.