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Finding the Fourth Proportional to 12,005.34, 18,021.27 and 7,078.54

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Solution

The fourth proportional to 12,005.34, 18,021.27 and 7,078.54 is: 10,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.34 : 18,021.27 = 7,078.54 : x
  2. Step 2: Convert to fraction form
    12,005.34/18,021.27 = 7,078.54/x
  3. Step 3: Cross multiply
    12,005.34x = 18,021.27 × 7,078.54
  4. Step 4: Simplify right side
    12,005.34x = 127,564,280.55
  5. Step 5: Solve for x
    x = 127,564,280.55/12,005.34
  6. Step 6: Final answer
    x = 10,625.63

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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.