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Finding the Fourth Proportional to 12,342.26, 17,032.26 and 6,677.02

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Solution

The fourth proportional to 12,342.26, 17,032.26 and 6,677.02 is: 9,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.26 : 17,032.26 = 6,677.02 : x
  2. Step 2: Convert to fraction form
    12,342.26/17,032.26 = 6,677.02/x
  3. Step 3: Cross multiply
    12,342.26x = 17,032.26 × 6,677.02
  4. Step 4: Simplify right side
    12,342.26x = 113,724,740.67
  5. Step 5: Solve for x
    x = 113,724,740.67/12,342.26
  6. Step 6: Final answer
    x = 9,214.26

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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.