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Finding the Fourth Proportional to 13,412.26, 20,118.93 and 6,388.66

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Solution

The fourth proportional to 13,412.26, 20,118.93 and 6,388.66 is: 9,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.26 : 20,118.93 = 6,388.66 : x
  2. Step 2: Convert to fraction form
    13,412.26/20,118.93 = 6,388.66/x
  3. Step 3: Cross multiply
    13,412.26x = 20,118.93 × 6,388.66
  4. Step 4: Simplify right side
    13,412.26x = 128,533,003.33
  5. Step 5: Solve for x
    x = 128,533,003.33/13,412.26
  6. Step 6: Final answer
    x = 9,583.25

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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.