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Finding the Fourth Proportional to 12,448.41, 17,178.87 and 6,783.22

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Solution

The fourth proportional to 12,448.41, 17,178.87 and 6,783.22 is: 9,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.41 : 17,178.87 = 6,783.22 : x
  2. Step 2: Convert to fraction form
    12,448.41/17,178.87 = 6,783.22/x
  3. Step 3: Cross multiply
    12,448.41x = 17,178.87 × 6,783.22
  4. Step 4: Simplify right side
    12,448.41x = 116,528,054.56
  5. Step 5: Solve for x
    x = 116,528,054.56/12,448.41
  6. Step 6: Final answer
    x = 9,360.88

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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.