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Finding the Fourth Proportional to 12,568.92, 17,345.31 and 6,826.37

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Solution

The fourth proportional to 12,568.92, 17,345.31 and 6,826.37 is: 9,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.92 : 17,345.31 = 6,826.37 : x
  2. Step 2: Convert to fraction form
    12,568.92/17,345.31 = 6,826.37/x
  3. Step 3: Cross multiply
    12,568.92x = 17,345.31 × 6,826.37
  4. Step 4: Simplify right side
    12,568.92x = 118,405,503.82
  5. Step 5: Solve for x
    x = 118,405,503.82/12,568.92
  6. Step 6: Final answer
    x = 9,420.50

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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.