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Finding the Fourth Proportional to 13,424.65, 20,137.37 and 6,405.40

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Solution

The fourth proportional to 13,424.65, 20,137.37 and 6,405.40 is: 9,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.65 : 20,137.37 = 6,405.40 : x
  2. Step 2: Convert to fraction form
    13,424.65/20,137.37 = 6,405.40/x
  3. Step 3: Cross multiply
    13,424.65x = 20,137.37 × 6,405.40
  4. Step 4: Simplify right side
    13,424.65x = 128,988,004.62
  5. Step 5: Solve for x
    x = 128,988,004.62/13,424.65
  6. Step 6: Final answer
    x = 9,608.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.