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Finding the Fourth Proportional to 13,648.87, 18,835.22 and 7,680.54

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Solution

The fourth proportional to 13,648.87, 18,835.22 and 7,680.54 is: 10,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.87 : 18,835.22 = 7,680.54 : x
  2. Step 2: Convert to fraction form
    13,648.87/18,835.22 = 7,680.54/x
  3. Step 3: Cross multiply
    13,648.87x = 18,835.22 × 7,680.54
  4. Step 4: Simplify right side
    13,648.87x = 144,664,566.44
  5. Step 5: Solve for x
    x = 144,664,566.44/13,648.87
  6. Step 6: Final answer
    x = 10,599.01

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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.