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Finding the Fourth Proportional to 13,633.76, 20,446.86 and 8,632.88

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Solution

The fourth proportional to 13,633.76, 20,446.86 and 8,632.88 is: 12,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.76 : 20,446.86 = 8,632.88 : x
  2. Step 2: Convert to fraction form
    13,633.76/20,446.86 = 8,632.88/x
  3. Step 3: Cross multiply
    13,633.76x = 20,446.86 × 8,632.88
  4. Step 4: Simplify right side
    13,633.76x = 176,515,288.76
  5. Step 5: Solve for x
    x = 176,515,288.76/13,633.76
  6. Step 6: Final answer
    x = 12,946.93

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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.