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Finding the Fourth Proportional to 18,917.69, 28,374.17 and 7,822.98

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Solution

The fourth proportional to 18,917.69, 28,374.17 and 7,822.98 is: 11,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.69 : 28,374.17 = 7,822.98 : x
  2. Step 2: Convert to fraction form
    18,917.69/28,374.17 = 7,822.98/x
  3. Step 3: Cross multiply
    18,917.69x = 28,374.17 × 7,822.98
  4. Step 4: Simplify right side
    18,917.69x = 221,970,525.31
  5. Step 5: Solve for x
    x = 221,970,525.31/18,917.69
  6. Step 6: Final answer
    x = 11,733.49

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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.