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Finding the Fourth Proportional to 13,882.78, 19,157.48 and 7,594.75

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Solution

The fourth proportional to 13,882.78, 19,157.48 and 7,594.75 is: 10,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.78 : 19,157.48 = 7,594.75 : x
  2. Step 2: Convert to fraction form
    13,882.78/19,157.48 = 7,594.75/x
  3. Step 3: Cross multiply
    13,882.78x = 19,157.48 × 7,594.75
  4. Step 4: Simplify right side
    13,882.78x = 145,496,233.26
  5. Step 5: Solve for x
    x = 145,496,233.26/13,882.78
  6. Step 6: Final answer
    x = 10,480.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.