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Finding the Fourth Proportional to 12,438.15, 18,662.09 and 4,647.57

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Solution

The fourth proportional to 12,438.15, 18,662.09 and 4,647.57 is: 6,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.15 : 18,662.09 = 4,647.57 : x
  2. Step 2: Convert to fraction form
    12,438.15/18,662.09 = 4,647.57/x
  3. Step 3: Cross multiply
    12,438.15x = 18,662.09 × 4,647.57
  4. Step 4: Simplify right side
    12,438.15x = 86,733,346.38
  5. Step 5: Solve for x
    x = 86,733,346.38/12,438.15
  6. Step 6: Final answer
    x = 6,973.17

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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.