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Finding the Fourth Proportional to 20,620, 30,904.64 and 9,511.26

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Solution

The fourth proportional to 20,620, 30,904.64 and 9,511.26 is: 14,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,620 : 30,904.64 = 9,511.26 : x
  2. Step 2: Convert to fraction form
    20,620/30,904.64 = 9,511.26/x
  3. Step 3: Cross multiply
    20,620x = 30,904.64 × 9,511.26
  4. Step 4: Simplify right side
    20,620x = 293,942,066.25
  5. Step 5: Solve for x
    x = 293,942,066.25/20,620
  6. Step 6: Final answer
    x = 14,255.19

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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.