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Finding the Fourth Proportional to 17,647.94, 24,354.07 and 9,581.42

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Solution

The fourth proportional to 17,647.94, 24,354.07 and 9,581.42 is: 13,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.94 : 24,354.07 = 9,581.42 : x
  2. Step 2: Convert to fraction form
    17,647.94/24,354.07 = 9,581.42/x
  3. Step 3: Cross multiply
    17,647.94x = 24,354.07 × 9,581.42
  4. Step 4: Simplify right side
    17,647.94x = 233,346,610.31
  5. Step 5: Solve for x
    x = 233,346,610.31/17,647.94
  6. Step 6: Final answer
    x = 13,222.31

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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.