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Finding the Fourth Proportional to 13,190.68, 19,783.94 and 6,175.56

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Solution

The fourth proportional to 13,190.68, 19,783.94 and 6,175.56 is: 9,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.68 : 19,783.94 = 6,175.56 : x
  2. Step 2: Convert to fraction form
    13,190.68/19,783.94 = 6,175.56/x
  3. Step 3: Cross multiply
    13,190.68x = 19,783.94 × 6,175.56
  4. Step 4: Simplify right side
    13,190.68x = 122,176,908.51
  5. Step 5: Solve for x
    x = 122,176,908.51/13,190.68
  6. Step 6: Final answer
    x = 9,262.37

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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.