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Finding the Fourth Proportional to 20,064.72, 30,089.99 and 5,830.23

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Solution

The fourth proportional to 20,064.72, 30,089.99 and 5,830.23 is: 8,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064.72 : 30,089.99 = 5,830.23 : x
  2. Step 2: Convert to fraction form
    20,064.72/30,089.99 = 5,830.23/x
  3. Step 3: Cross multiply
    20,064.72x = 30,089.99 × 5,830.23
  4. Step 4: Simplify right side
    20,064.72x = 175,431,533.25
  5. Step 5: Solve for x
    x = 175,431,533.25/20,064.72
  6. Step 6: Final answer
    x = 8,743.28

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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.