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Finding the Fourth Proportional to 17,674.66, 24,365.34 and 12,352.96

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Solution

The fourth proportional to 17,674.66, 24,365.34 and 12,352.96 is: 17,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.66 : 24,365.34 = 12,352.96 : x
  2. Step 2: Convert to fraction form
    17,674.66/24,365.34 = 12,352.96/x
  3. Step 3: Cross multiply
    17,674.66x = 24,365.34 × 12,352.96
  4. Step 4: Simplify right side
    17,674.66x = 300,984,070.41
  5. Step 5: Solve for x
    x = 300,984,070.41/17,674.66
  6. Step 6: Final answer
    x = 17,029.13

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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.