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Finding the Fourth Proportional to 12,823.36, 17,690.88 and 8,632.96

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Solution

The fourth proportional to 12,823.36, 17,690.88 and 8,632.96 is: 11,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.36 : 17,690.88 = 8,632.96 : x
  2. Step 2: Convert to fraction form
    12,823.36/17,690.88 = 8,632.96/x
  3. Step 3: Cross multiply
    12,823.36x = 17,690.88 × 8,632.96
  4. Step 4: Simplify right side
    12,823.36x = 152,724,659.40
  5. Step 5: Solve for x
    x = 152,724,659.40/12,823.36
  6. Step 6: Final answer
    x = 11,909.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.