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Finding the Fourth Proportional to 12,454.48, 17,186.64 and 6,789.12

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Solution

The fourth proportional to 12,454.48, 17,186.64 and 6,789.12 is: 9,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.48 : 17,186.64 = 6,789.12 : x
  2. Step 2: Convert to fraction form
    12,454.48/17,186.64 = 6,789.12/x
  3. Step 3: Cross multiply
    12,454.48x = 17,186.64 × 6,789.12
  4. Step 4: Simplify right side
    12,454.48x = 116,682,161.36
  5. Step 5: Solve for x
    x = 116,682,161.36/12,454.48
  6. Step 6: Final answer
    x = 9,368.69

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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.