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Finding the Fourth Proportional to 13,387.82, 18,474.68 and 7,419.33

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Solution

The fourth proportional to 13,387.82, 18,474.68 and 7,419.33 is: 10,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.82 : 18,474.68 = 7,419.33 : x
  2. Step 2: Convert to fraction form
    13,387.82/18,474.68 = 7,419.33/x
  3. Step 3: Cross multiply
    13,387.82x = 18,474.68 × 7,419.33
  4. Step 4: Simplify right side
    13,387.82x = 137,069,766.11
  5. Step 5: Solve for x
    x = 137,069,766.11/13,387.82
  6. Step 6: Final answer
    x = 10,238.40

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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.