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Finding the Fourth Proportional to 12,563.57, 18,838.49 and 8,120.61

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Solution

The fourth proportional to 12,563.57, 18,838.49 and 8,120.61 is: 12,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.57 : 18,838.49 = 8,120.61 : x
  2. Step 2: Convert to fraction form
    12,563.57/18,838.49 = 8,120.61/x
  3. Step 3: Cross multiply
    12,563.57x = 18,838.49 × 8,120.61
  4. Step 4: Simplify right side
    12,563.57x = 152,980,030.28
  5. Step 5: Solve for x
    x = 152,980,030.28/12,563.57
  6. Step 6: Final answer
    x = 12,176.48

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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.