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Finding the Fourth Proportional to 12,148.93, 18,223.40 and 3,383.83

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Solution

The fourth proportional to 12,148.93, 18,223.40 and 3,383.83 is: 5,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.93 : 18,223.40 = 3,383.83 : x
  2. Step 2: Convert to fraction form
    12,148.93/18,223.40 = 3,383.83/x
  3. Step 3: Cross multiply
    12,148.93x = 18,223.40 × 3,383.83
  4. Step 4: Simplify right side
    12,148.93x = 61,664,887.62
  5. Step 5: Solve for x
    x = 61,664,887.62/12,148.93
  6. Step 6: Final answer
    x = 5,075.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.