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Finding the Fourth Proportional to 14,760.80, 22,154.16 and 8,194.40

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Solution

The fourth proportional to 14,760.80, 22,154.16 and 8,194.40 is: 12,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760.80 : 22,154.16 = 8,194.40 : x
  2. Step 2: Convert to fraction form
    14,760.80/22,154.16 = 8,194.40/x
  3. Step 3: Cross multiply
    14,760.80x = 22,154.16 × 8,194.40
  4. Step 4: Simplify right side
    14,760.80x = 181,540,048.70
  5. Step 5: Solve for x
    x = 181,540,048.70/14,760.80
  6. Step 6: Final answer
    x = 12,298.79

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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.