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Finding the Fourth Proportional to 17,618.67, 24,315.29 and 9,662.44

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Solution

The fourth proportional to 17,618.67, 24,315.29 and 9,662.44 is: 13,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.67 : 24,315.29 = 9,662.44 : x
  2. Step 2: Convert to fraction form
    17,618.67/24,315.29 = 9,662.44/x
  3. Step 3: Cross multiply
    17,618.67x = 24,315.29 × 9,662.44
  4. Step 4: Simplify right side
    17,618.67x = 234,945,030.71
  5. Step 5: Solve for x
    x = 234,945,030.71/17,618.67
  6. Step 6: Final answer
    x = 13,335.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.