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Finding the Fourth Proportional to 12,405.38, 17,119.43 and 6,816.38

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Solution

The fourth proportional to 12,405.38, 17,119.43 and 6,816.38 is: 9,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.38 : 17,119.43 = 6,816.38 : x
  2. Step 2: Convert to fraction form
    12,405.38/17,119.43 = 6,816.38/x
  3. Step 3: Cross multiply
    12,405.38x = 17,119.43 × 6,816.38
  4. Step 4: Simplify right side
    12,405.38x = 116,692,420.58
  5. Step 5: Solve for x
    x = 116,692,420.58/12,405.38
  6. Step 6: Final answer
    x = 9,406.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.