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Finding the Fourth Proportional to 17,632.29, 24,334.10 and 9,676.07

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Solution

The fourth proportional to 17,632.29, 24,334.10 and 9,676.07 is: 13,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.29 : 24,334.10 = 9,676.07 : x
  2. Step 2: Convert to fraction form
    17,632.29/24,334.10 = 9,676.07/x
  3. Step 3: Cross multiply
    17,632.29x = 24,334.10 × 9,676.07
  4. Step 4: Simplify right side
    17,632.29x = 235,458,284.94
  5. Step 5: Solve for x
    x = 235,458,284.94/17,632.29
  6. Step 6: Final answer
    x = 13,353.81

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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.