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Finding the Fourth Proportional to 18,907.83, 28,366.43 and 7,817.70

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Solution

The fourth proportional to 18,907.83, 28,366.43 and 7,817.70 is: 11,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,907.83 : 28,366.43 = 7,817.70 : x
  2. Step 2: Convert to fraction form
    18,907.83/28,366.43 = 7,817.70/x
  3. Step 3: Cross multiply
    18,907.83x = 28,366.43 × 7,817.70
  4. Step 4: Simplify right side
    18,907.83x = 221,760,200.72
  5. Step 5: Solve for x
    x = 221,760,200.72/18,907.83
  6. Step 6: Final answer
    x = 11,728.49

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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.