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Finding the Fourth Proportional to 23,933.98, 35,901 and 6,403.80

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Solution

The fourth proportional to 23,933.98, 35,901 and 6,403.80 is: 9,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,933.98 : 35,901 = 6,403.80 : x
  2. Step 2: Convert to fraction form
    23,933.98/35,901 = 6,403.80/x
  3. Step 3: Cross multiply
    23,933.98x = 35,901 × 6,403.80
  4. Step 4: Simplify right side
    23,933.98x = 229,902,823.80
  5. Step 5: Solve for x
    x = 229,902,823.80/23,933.98
  6. Step 6: Final answer
    x = 9,605.71

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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.