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Finding the Fourth Proportional to 12,148.37, 16,768.94 and 7,114.21

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Solution

The fourth proportional to 12,148.37, 16,768.94 and 7,114.21 is: 9,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.37 : 16,768.94 = 7,114.21 : x
  2. Step 2: Convert to fraction form
    12,148.37/16,768.94 = 7,114.21/x
  3. Step 3: Cross multiply
    12,148.37x = 16,768.94 × 7,114.21
  4. Step 4: Simplify right side
    12,148.37x = 119,297,760.64
  5. Step 5: Solve for x
    x = 119,297,760.64/12,148.37
  6. Step 6: Final answer
    x = 9,820.06

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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.