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Finding the Fourth Proportional to 13,941, 19,238.62 and 7,567.58

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Solution

The fourth proportional to 13,941, 19,238.62 and 7,567.58 is: 10,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941 : 19,238.62 = 7,567.58 : x
  2. Step 2: Convert to fraction form
    13,941/19,238.62 = 7,567.58/x
  3. Step 3: Cross multiply
    13,941x = 19,238.62 × 7,567.58
  4. Step 4: Simplify right side
    13,941x = 145,589,795.94
  5. Step 5: Solve for x
    x = 145,589,795.94/13,941
  6. Step 6: Final answer
    x = 10,443.28

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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.