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Finding the Fourth Proportional to 12,374.77, 18,551.73 and 8,414.94

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Solution

The fourth proportional to 12,374.77, 18,551.73 and 8,414.94 is: 12,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.77 : 18,551.73 = 8,414.94 : x
  2. Step 2: Convert to fraction form
    12,374.77/18,551.73 = 8,414.94/x
  3. Step 3: Cross multiply
    12,374.77x = 18,551.73 × 8,414.94
  4. Step 4: Simplify right side
    12,374.77x = 156,111,694.85
  5. Step 5: Solve for x
    x = 156,111,694.85/12,374.77
  6. Step 6: Final answer
    x = 12,615.32

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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.