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Finding the Fourth Proportional to 12,656.88, 18,976.20 and 7,725.36

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Solution

The fourth proportional to 12,656.88, 18,976.20 and 7,725.36 is: 11,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.88 : 18,976.20 = 7,725.36 : x
  2. Step 2: Convert to fraction form
    12,656.88/18,976.20 = 7,725.36/x
  3. Step 3: Cross multiply
    12,656.88x = 18,976.20 × 7,725.36
  4. Step 4: Simplify right side
    12,656.88x = 146,597,976.43
  5. Step 5: Solve for x
    x = 146,597,976.43/12,656.88
  6. Step 6: Final answer
    x = 11,582.47

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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.