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Finding the Fourth Proportional to 14,378.20, 19,841.40 and 8,004.60

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Solution

The fourth proportional to 14,378.20, 19,841.40 and 8,004.60 is: 11,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.20 : 19,841.40 = 8,004.60 : x
  2. Step 2: Convert to fraction form
    14,378.20/19,841.40 = 8,004.60/x
  3. Step 3: Cross multiply
    14,378.20x = 19,841.40 × 8,004.60
  4. Step 4: Simplify right side
    14,378.20x = 158,822,470.44
  5. Step 5: Solve for x
    x = 158,822,470.44/14,378.20
  6. Step 6: Final answer
    x = 11,046.06

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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.