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Finding the Fourth Proportional to 11,374.20, 17,042.10 and 9,415.80

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Solution

The fourth proportional to 11,374.20, 17,042.10 and 9,415.80 is: 14,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.20 : 17,042.10 = 9,415.80 : x
  2. Step 2: Convert to fraction form
    11,374.20/17,042.10 = 9,415.80/x
  3. Step 3: Cross multiply
    11,374.20x = 17,042.10 × 9,415.80
  4. Step 4: Simplify right side
    11,374.20x = 160,465,005.18
  5. Step 5: Solve for x
    x = 160,465,005.18/11,374.20
  6. Step 6: Final answer
    x = 14,107.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.