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Finding the Fourth Proportional to 13,940.50, 19,237.94 and 7,567.09

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Solution

The fourth proportional to 13,940.50, 19,237.94 and 7,567.09 is: 10,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.50 : 19,237.94 = 7,567.09 : x
  2. Step 2: Convert to fraction form
    13,940.50/19,237.94 = 7,567.09/x
  3. Step 3: Cross multiply
    13,940.50x = 19,237.94 × 7,567.09
  4. Step 4: Simplify right side
    13,940.50x = 145,575,223.39
  5. Step 5: Solve for x
    x = 145,575,223.39/13,940.50
  6. Step 6: Final answer
    x = 10,442.61

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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.