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Finding the Fourth Proportional to 13,442.81, 20,164.41 and 5,118.84

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Solution

The fourth proportional to 13,442.81, 20,164.41 and 5,118.84 is: 7,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.81 : 20,164.41 = 5,118.84 : x
  2. Step 2: Convert to fraction form
    13,442.81/20,164.41 = 5,118.84/x
  3. Step 3: Cross multiply
    13,442.81x = 20,164.41 × 5,118.84
  4. Step 4: Simplify right side
    13,442.81x = 103,218,388.48
  5. Step 5: Solve for x
    x = 103,218,388.48/13,442.81
  6. Step 6: Final answer
    x = 7,678.34

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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.