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Finding the Fourth Proportional to 12,533.80, 18,797.70 and 7,257.40

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Solution

The fourth proportional to 12,533.80, 18,797.70 and 7,257.40 is: 10,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.80 : 18,797.70 = 7,257.40 : x
  2. Step 2: Convert to fraction form
    12,533.80/18,797.70 = 7,257.40/x
  3. Step 3: Cross multiply
    12,533.80x = 18,797.70 × 7,257.40
  4. Step 4: Simplify right side
    12,533.80x = 136,422,427.98
  5. Step 5: Solve for x
    x = 136,422,427.98/12,533.80
  6. Step 6: Final answer
    x = 10,884.36

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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.