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Finding the Fourth Proportional to 13,940.35, 19,237.70 and 7,566.94

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Solution

The fourth proportional to 13,940.35, 19,237.70 and 7,566.94 is: 10,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.35 : 19,237.70 = 7,566.94 : x
  2. Step 2: Convert to fraction form
    13,940.35/19,237.70 = 7,566.94/x
  3. Step 3: Cross multiply
    13,940.35x = 19,237.70 × 7,566.94
  4. Step 4: Simplify right side
    13,940.35x = 145,570,527.40
  5. Step 5: Solve for x
    x = 145,570,527.40/13,940.35
  6. Step 6: Final answer
    x = 10,442.39

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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.