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Finding the Fourth Proportional to 12,238, 18,357.18 and 3,004

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Solution

The fourth proportional to 12,238, 18,357.18 and 3,004 is: 4,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238 : 18,357.18 = 3,004 : x
  2. Step 2: Convert to fraction form
    12,238/18,357.18 = 3,004/x
  3. Step 3: Cross multiply
    12,238x = 18,357.18 × 3,004
  4. Step 4: Simplify right side
    12,238x = 55,144,968.72
  5. Step 5: Solve for x
    x = 55,144,968.72/12,238
  6. Step 6: Final answer
    x = 4,506.04

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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.