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Finding the Fourth Proportional to 27,994.52, 42,006.36 and 12,408.50

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Solution

The fourth proportional to 27,994.52, 42,006.36 and 12,408.50 is: 18,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.52 : 42,006.36 = 12,408.50 : x
  2. Step 2: Convert to fraction form
    27,994.52/42,006.36 = 12,408.50/x
  3. Step 3: Cross multiply
    27,994.52x = 42,006.36 × 12,408.50
  4. Step 4: Simplify right side
    27,994.52x = 521,235,918.06
  5. Step 5: Solve for x
    x = 521,235,918.06/27,994.52
  6. Step 6: Final answer
    x = 18,619.21

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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.