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Finding the Fourth Proportional to 12,438.42, 18,662.49 and 4,647.84

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Solution

The fourth proportional to 12,438.42, 18,662.49 and 4,647.84 is: 6,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.42 : 18,662.49 = 4,647.84 : x
  2. Step 2: Convert to fraction form
    12,438.42/18,662.49 = 4,647.84/x
  3. Step 3: Cross multiply
    12,438.42x = 18,662.49 × 4,647.84
  4. Step 4: Simplify right side
    12,438.42x = 86,740,267.52
  5. Step 5: Solve for x
    x = 86,740,267.52/12,438.42
  6. Step 6: Final answer
    x = 6,973.58

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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.