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Finding the Fourth Proportional to 19,218.50, 28,829.64 and 5,367.50

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Solution

The fourth proportional to 19,218.50, 28,829.64 and 5,367.50 is: 8,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,218.50 : 28,829.64 = 5,367.50 : x
  2. Step 2: Convert to fraction form
    19,218.50/28,829.64 = 5,367.50/x
  3. Step 3: Cross multiply
    19,218.50x = 28,829.64 × 5,367.50
  4. Step 4: Simplify right side
    19,218.50x = 154,743,092.70
  5. Step 5: Solve for x
    x = 154,743,092.70/19,218.50
  6. Step 6: Final answer
    x = 8,051.78

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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.