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Finding the Fourth Proportional to 13,941.86, 19,239.11 and 7,568.31

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Solution

The fourth proportional to 13,941.86, 19,239.11 and 7,568.31 is: 10,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.86 : 19,239.11 = 7,568.31 : x
  2. Step 2: Convert to fraction form
    13,941.86/19,239.11 = 7,568.31/x
  3. Step 3: Cross multiply
    13,941.86x = 19,239.11 × 7,568.31
  4. Step 4: Simplify right side
    13,941.86x = 145,607,548.60
  5. Step 5: Solve for x
    x = 145,607,548.60/13,941.86
  6. Step 6: Final answer
    x = 10,443.91

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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.