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Finding the Fourth Proportional to 12,426.48, 17,149.36 and 6,837.84

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Solution

The fourth proportional to 12,426.48, 17,149.36 and 6,837.84 is: 9,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.48 : 17,149.36 = 6,837.84 : x
  2. Step 2: Convert to fraction form
    12,426.48/17,149.36 = 6,837.84/x
  3. Step 3: Cross multiply
    12,426.48x = 17,149.36 × 6,837.84
  4. Step 4: Simplify right side
    12,426.48x = 117,264,579.78
  5. Step 5: Solve for x
    x = 117,264,579.78/12,426.48
  6. Step 6: Final answer
    x = 9,436.67

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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.