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Finding the Fourth Proportional to 13,881.87, 19,157.04 and 7,594.38

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Solution

The fourth proportional to 13,881.87, 19,157.04 and 7,594.38 is: 10,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.87 : 19,157.04 = 7,594.38 : x
  2. Step 2: Convert to fraction form
    13,881.87/19,157.04 = 7,594.38/x
  3. Step 3: Cross multiply
    13,881.87x = 19,157.04 × 7,594.38
  4. Step 4: Simplify right side
    13,881.87x = 145,485,841.44
  5. Step 5: Solve for x
    x = 145,485,841.44/13,881.87
  6. Step 6: Final answer
    x = 10,480.28

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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.