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Finding the Fourth Proportional to 18,533.40, 27,810.90 and 6,847.80

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Solution

The fourth proportional to 18,533.40, 27,810.90 and 6,847.80 is: 10,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.40 : 27,810.90 = 6,847.80 : x
  2. Step 2: Convert to fraction form
    18,533.40/27,810.90 = 6,847.80/x
  3. Step 3: Cross multiply
    18,533.40x = 27,810.90 × 6,847.80
  4. Step 4: Simplify right side
    18,533.40x = 190,443,481.02
  5. Step 5: Solve for x
    x = 190,443,481.02/18,533.40
  6. Step 6: Final answer
    x = 10,275.69

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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.