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Finding the Fourth Proportional to 11,744.96, 17,624.16 and 8,631.68

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Solution

The fourth proportional to 11,744.96, 17,624.16 and 8,631.68 is: 12,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.96 : 17,624.16 = 8,631.68 : x
  2. Step 2: Convert to fraction form
    11,744.96/17,624.16 = 8,631.68/x
  3. Step 3: Cross multiply
    11,744.96x = 17,624.16 × 8,631.68
  4. Step 4: Simplify right side
    11,744.96x = 152,126,109.39
  5. Step 5: Solve for x
    x = 152,126,109.39/11,744.96
  6. Step 6: Final answer
    x = 12,952.46

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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.