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Finding the Fourth Proportional to 22,651.09, 33,965.62 and 9,499.93

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Solution

The fourth proportional to 22,651.09, 33,965.62 and 9,499.93 is: 14,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.09 : 33,965.62 = 9,499.93 : x
  2. Step 2: Convert to fraction form
    22,651.09/33,965.62 = 9,499.93/x
  3. Step 3: Cross multiply
    22,651.09x = 33,965.62 × 9,499.93
  4. Step 4: Simplify right side
    22,651.09x = 322,670,903.74
  5. Step 5: Solve for x
    x = 322,670,903.74/22,651.09
  6. Step 6: Final answer
    x = 14,245.27

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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.