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Finding the Fourth Proportional to 17,647.30, 24,354.15 and 9,689.46

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Solution

The fourth proportional to 17,647.30, 24,354.15 and 9,689.46 is: 13,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.30 : 24,354.15 = 9,689.46 : x
  2. Step 2: Convert to fraction form
    17,647.30/24,354.15 = 9,689.46/x
  3. Step 3: Cross multiply
    17,647.30x = 24,354.15 × 9,689.46
  4. Step 4: Simplify right side
    17,647.30x = 235,978,562.26
  5. Step 5: Solve for x
    x = 235,978,562.26/17,647.30
  6. Step 6: Final answer
    x = 13,371.94

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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.