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Finding the Fourth Proportional to 13,825.56, 19,074.71 and 7,855.05

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Solution

The fourth proportional to 13,825.56, 19,074.71 and 7,855.05 is: 10,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.56 : 19,074.71 = 7,855.05 : x
  2. Step 2: Convert to fraction form
    13,825.56/19,074.71 = 7,855.05/x
  3. Step 3: Cross multiply
    13,825.56x = 19,074.71 × 7,855.05
  4. Step 4: Simplify right side
    13,825.56x = 149,832,820.42
  5. Step 5: Solve for x
    x = 149,832,820.42/13,825.56
  6. Step 6: Final answer
    x = 10,837.38

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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.