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Finding the Fourth Proportional to 13,930.49, 19,220.73 and 7,880.85

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Solution

The fourth proportional to 13,930.49, 19,220.73 and 7,880.85 is: 10,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.49 : 19,220.73 = 7,880.85 : x
  2. Step 2: Convert to fraction form
    13,930.49/19,220.73 = 7,880.85/x
  3. Step 3: Cross multiply
    13,930.49x = 19,220.73 × 7,880.85
  4. Step 4: Simplify right side
    13,930.49x = 151,475,690.02
  5. Step 5: Solve for x
    x = 151,475,690.02/13,930.49
  6. Step 6: Final answer
    x = 10,873.68

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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.