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Finding the Fourth Proportional to 12,405.40, 17,119.26 and 6,816.28

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Solution

The fourth proportional to 12,405.40, 17,119.26 and 6,816.28 is: 9,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.40 : 17,119.26 = 6,816.28 : x
  2. Step 2: Convert to fraction form
    12,405.40/17,119.26 = 6,816.28/x
  3. Step 3: Cross multiply
    12,405.40x = 17,119.26 × 6,816.28
  4. Step 4: Simplify right side
    12,405.40x = 116,689,669.55
  5. Step 5: Solve for x
    x = 116,689,669.55/12,405.40
  6. Step 6: Final answer
    x = 9,406.36

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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.