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Finding the Fourth Proportional to 13,859.25, 19,125.87 and 7,571.64

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Solution

The fourth proportional to 13,859.25, 19,125.87 and 7,571.64 is: 10,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.25 : 19,125.87 = 7,571.64 : x
  2. Step 2: Convert to fraction form
    13,859.25/19,125.87 = 7,571.64/x
  3. Step 3: Cross multiply
    13,859.25x = 19,125.87 × 7,571.64
  4. Step 4: Simplify right side
    13,859.25x = 144,814,202.33
  5. Step 5: Solve for x
    x = 144,814,202.33/13,859.25
  6. Step 6: Final answer
    x = 10,448.92

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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.