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Finding the Fourth Proportional to 13,387.57, 18,474.63 and 7,419.22

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Solution

The fourth proportional to 13,387.57, 18,474.63 and 7,419.22 is: 10,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.57 : 18,474.63 = 7,419.22 : x
  2. Step 2: Convert to fraction form
    13,387.57/18,474.63 = 7,419.22/x
  3. Step 3: Cross multiply
    13,387.57x = 18,474.63 × 7,419.22
  4. Step 4: Simplify right side
    13,387.57x = 137,067,344.39
  5. Step 5: Solve for x
    x = 137,067,344.39/13,387.57
  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.