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Finding the Fourth Proportional to 18,702.44, 28,069.80 and 9,824.01

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Solution

The fourth proportional to 18,702.44, 28,069.80 and 9,824.01 is: 14,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.44 : 28,069.80 = 9,824.01 : x
  2. Step 2: Convert to fraction form
    18,702.44/28,069.80 = 9,824.01/x
  3. Step 3: Cross multiply
    18,702.44x = 28,069.80 × 9,824.01
  4. Step 4: Simplify right side
    18,702.44x = 275,757,995.90
  5. Step 5: Solve for x
    x = 275,757,995.90/18,702.44
  6. Step 6: Final answer
    x = 14,744.49

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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.