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Finding the Fourth Proportional to 20,506.42, 30,759.62 and 11,735.13

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Solution

The fourth proportional to 20,506.42, 30,759.62 and 11,735.13 is: 17,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.42 : 30,759.62 = 11,735.13 : x
  2. Step 2: Convert to fraction form
    20,506.42/30,759.62 = 11,735.13/x
  3. Step 3: Cross multiply
    20,506.42x = 30,759.62 × 11,735.13
  4. Step 4: Simplify right side
    20,506.42x = 360,968,168.79
  5. Step 5: Solve for x
    x = 360,968,168.79/20,506.42
  6. Step 6: Final answer
    x = 17,602.69

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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.