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Finding the Fourth Proportional to 12,435.85, 17,161.47 and 6,846.85

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Solution

The fourth proportional to 12,435.85, 17,161.47 and 6,846.85 is: 9,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.85 : 17,161.47 = 6,846.85 : x
  2. Step 2: Convert to fraction form
    12,435.85/17,161.47 = 6,846.85/x
  3. Step 3: Cross multiply
    12,435.85x = 17,161.47 × 6,846.85
  4. Step 4: Simplify right side
    12,435.85x = 117,501,967.97
  5. Step 5: Solve for x
    x = 117,501,967.97/12,435.85
  6. Step 6: Final answer
    x = 9,448.65

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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.