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Finding the Fourth Proportional to 17,650.34, 24,357.88 and 9,693.14

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Solution

The fourth proportional to 17,650.34, 24,357.88 and 9,693.14 is: 13,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.34 : 24,357.88 = 9,693.14 : x
  2. Step 2: Convert to fraction form
    17,650.34/24,357.88 = 9,693.14/x
  3. Step 3: Cross multiply
    17,650.34x = 24,357.88 × 9,693.14
  4. Step 4: Simplify right side
    17,650.34x = 236,104,340.94
  5. Step 5: Solve for x
    x = 236,104,340.94/17,650.34
  6. Step 6: Final answer
    x = 13,376.76

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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.