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Finding the Fourth Proportional to 20,272.74, 30,412.89 and 7,792.26

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Solution

The fourth proportional to 20,272.74, 30,412.89 and 7,792.26 is: 11,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.74 : 30,412.89 = 7,792.26 : x
  2. Step 2: Convert to fraction form
    20,272.74/30,412.89 = 7,792.26/x
  3. Step 3: Cross multiply
    20,272.74x = 30,412.89 × 7,792.26
  4. Step 4: Simplify right side
    20,272.74x = 236,985,146.23
  5. Step 5: Solve for x
    x = 236,985,146.23/20,272.74
  6. Step 6: Final answer
    x = 11,689.84

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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.