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Finding the Fourth Proportional to 17,647.34, 24,353.22 and 9,581.15

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Solution

The fourth proportional to 17,647.34, 24,353.22 and 9,581.15 is: 13,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.34 : 24,353.22 = 9,581.15 : x
  2. Step 2: Convert to fraction form
    17,647.34/24,353.22 = 9,581.15/x
  3. Step 3: Cross multiply
    17,647.34x = 24,353.22 × 9,581.15
  4. Step 4: Simplify right side
    17,647.34x = 233,331,950.62
  5. Step 5: Solve for x
    x = 233,331,950.62/17,647.34
  6. Step 6: Final answer
    x = 13,221.94

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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.