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Finding the Fourth Proportional to 22,618.09, 33,927.23 and 9,461.24

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Solution

The fourth proportional to 22,618.09, 33,927.23 and 9,461.24 is: 14,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.09 : 33,927.23 = 9,461.24 : x
  2. Step 2: Convert to fraction form
    22,618.09/33,927.23 = 9,461.24/x
  3. Step 3: Cross multiply
    22,618.09x = 33,927.23 × 9,461.24
  4. Step 4: Simplify right side
    22,618.09x = 320,993,646.81
  5. Step 5: Solve for x
    x = 320,993,646.81/22,618.09
  6. Step 6: Final answer
    x = 14,191.90

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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.