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Finding the Fourth Proportional to 20,157.14, 30,235.74 and 6,117.02

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Solution

The fourth proportional to 20,157.14, 30,235.74 and 6,117.02 is: 9,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.14 : 30,235.74 = 6,117.02 : x
  2. Step 2: Convert to fraction form
    20,157.14/30,235.74 = 6,117.02/x
  3. Step 3: Cross multiply
    20,157.14x = 30,235.74 × 6,117.02
  4. Step 4: Simplify right side
    20,157.14x = 184,952,626.29
  5. Step 5: Solve for x
    x = 184,952,626.29/20,157.14
  6. Step 6: Final answer
    x = 9,175.54

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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.