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Finding the Fourth Proportional to 12,536.64, 18,796.05 and 6,292.22

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Solution

The fourth proportional to 12,536.64, 18,796.05 and 6,292.22 is: 9,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.64 : 18,796.05 = 6,292.22 : x
  2. Step 2: Convert to fraction form
    12,536.64/18,796.05 = 6,292.22/x
  3. Step 3: Cross multiply
    12,536.64x = 18,796.05 × 6,292.22
  4. Step 4: Simplify right side
    12,536.64x = 118,268,787.75
  5. Step 5: Solve for x
    x = 118,268,787.75/12,536.64
  6. Step 6: Final answer
    x = 9,433.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.