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Finding the Fourth Proportional to 12,338.78, 18,390.86 and 11,638.18

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Solution

The fourth proportional to 12,338.78, 18,390.86 and 11,638.18 is: 17,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.78 : 18,390.86 = 11,638.18 : x
  2. Step 2: Convert to fraction form
    12,338.78/18,390.86 = 11,638.18/x
  3. Step 3: Cross multiply
    12,338.78x = 18,390.86 × 11,638.18
  4. Step 4: Simplify right side
    12,338.78x = 214,036,139.03
  5. Step 5: Solve for x
    x = 214,036,139.03/12,338.78
  6. Step 6: Final answer
    x = 17,346.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.