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Finding the Fourth Proportional to 13,941, 19,238.10 and 7,567.32

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Solution

The fourth proportional to 13,941, 19,238.10 and 7,567.32 is: 10,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941 : 19,238.10 = 7,567.32 : x
  2. Step 2: Convert to fraction form
    13,941/19,238.10 = 7,567.32/x
  3. Step 3: Cross multiply
    13,941x = 19,238.10 × 7,567.32
  4. Step 4: Simplify right side
    13,941x = 145,580,858.89
  5. Step 5: Solve for x
    x = 145,580,858.89/13,941
  6. Step 6: Final answer
    x = 10,442.64

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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.