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Finding the Fourth Proportional to 13,852.87, 19,110.42 and 10,074.38

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Solution

The fourth proportional to 13,852.87, 19,110.42 and 10,074.38 is: 13,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.87 : 19,110.42 = 10,074.38 : x
  2. Step 2: Convert to fraction form
    13,852.87/19,110.42 = 10,074.38/x
  3. Step 3: Cross multiply
    13,852.87x = 19,110.42 × 10,074.38
  4. Step 4: Simplify right side
    13,852.87x = 192,525,537.49
  5. Step 5: Solve for x
    x = 192,525,537.49/13,852.87
  6. Step 6: Final answer
    x = 13,897.88

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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.