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Finding the Fourth Proportional to 12,358.68, 17,054.82 and 6,769.80

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Solution

The fourth proportional to 12,358.68, 17,054.82 and 6,769.80 is: 9,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.68 : 17,054.82 = 6,769.80 : x
  2. Step 2: Convert to fraction form
    12,358.68/17,054.82 = 6,769.80/x
  3. Step 3: Cross multiply
    12,358.68x = 17,054.82 × 6,769.80
  4. Step 4: Simplify right side
    12,358.68x = 115,457,720.44
  5. Step 5: Solve for x
    x = 115,457,720.44/12,358.68
  6. Step 6: Final answer
    x = 9,342.24

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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.