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Finding the Fourth Proportional to 12,768.75, 19,171.06 and 6,533.23

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Solution

The fourth proportional to 12,768.75, 19,171.06 and 6,533.23 is: 9,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.75 : 19,171.06 = 6,533.23 : x
  2. Step 2: Convert to fraction form
    12,768.75/19,171.06 = 6,533.23/x
  3. Step 3: Cross multiply
    12,768.75x = 19,171.06 × 6,533.23
  4. Step 4: Simplify right side
    12,768.75x = 125,248,944.32
  5. Step 5: Solve for x
    x = 125,248,944.32/12,768.75
  6. Step 6: Final answer
    x = 9,809.03

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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.