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Finding the Fourth Proportional to 13,858.88, 19,125.14 and 7,571.26

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Solution

The fourth proportional to 13,858.88, 19,125.14 and 7,571.26 is: 10,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.88 : 19,125.14 = 7,571.26 : x
  2. Step 2: Convert to fraction form
    13,858.88/19,125.14 = 7,571.26/x
  3. Step 3: Cross multiply
    13,858.88x = 19,125.14 × 7,571.26
  4. Step 4: Simplify right side
    13,858.88x = 144,801,407.48
  5. Step 5: Solve for x
    x = 144,801,407.48/13,858.88
  6. Step 6: Final answer
    x = 10,448.28

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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.