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Finding the Fourth Proportional to 13,942.88, 19,241.24 and 7,655.25

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Solution

The fourth proportional to 13,942.88, 19,241.24 and 7,655.25 is: 10,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.88 : 19,241.24 = 7,655.25 : x
  2. Step 2: Convert to fraction form
    13,942.88/19,241.24 = 7,655.25/x
  3. Step 3: Cross multiply
    13,942.88x = 19,241.24 × 7,655.25
  4. Step 4: Simplify right side
    13,942.88x = 147,296,502.51
  5. Step 5: Solve for x
    x = 147,296,502.51/13,942.88
  6. Step 6: Final answer
    x = 10,564.28

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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.