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Finding the Fourth Proportional to 13,624, 18,788.64 and 8,838.96

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Solution

The fourth proportional to 13,624, 18,788.64 and 8,838.96 is: 12,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624 : 18,788.64 = 8,838.96 : x
  2. Step 2: Convert to fraction form
    13,624/18,788.64 = 8,838.96/x
  3. Step 3: Cross multiply
    13,624x = 18,788.64 × 8,838.96
  4. Step 4: Simplify right side
    13,624x = 166,072,037.41
  5. Step 5: Solve for x
    x = 166,072,037.41/13,624
  6. Step 6: Final answer
    x = 12,189.67

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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.