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Finding the Fourth Proportional to 13,631.94, 20,432.52 and 6,949.67

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Solution

The fourth proportional to 13,631.94, 20,432.52 and 6,949.67 is: 10,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631.94 : 20,432.52 = 6,949.67 : x
  2. Step 2: Convert to fraction form
    13,631.94/20,432.52 = 6,949.67/x
  3. Step 3: Cross multiply
    13,631.94x = 20,432.52 × 6,949.67
  4. Step 4: Simplify right side
    13,631.94x = 141,999,169.11
  5. Step 5: Solve for x
    x = 141,999,169.11/13,631.94
  6. Step 6: Final answer
    x = 10,416.65

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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.