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Finding the Fourth Proportional to 20,208, 30,309.12 and 6,357.12

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Solution

The fourth proportional to 20,208, 30,309.12 and 6,357.12 is: 9,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208 : 30,309.12 = 6,357.12 : x
  2. Step 2: Convert to fraction form
    20,208/30,309.12 = 6,357.12/x
  3. Step 3: Cross multiply
    20,208x = 30,309.12 × 6,357.12
  4. Step 4: Simplify right side
    20,208x = 192,678,712.93
  5. Step 5: Solve for x
    x = 192,678,712.93/20,208
  6. Step 6: Final answer
    x = 9,534.77

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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.