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Finding the Fourth Proportional to 13,546.63, 20,316.91 and 5,223.88

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Solution

The fourth proportional to 13,546.63, 20,316.91 and 5,223.88 is: 7,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.63 : 20,316.91 = 5,223.88 : x
  2. Step 2: Convert to fraction form
    13,546.63/20,316.91 = 5,223.88/x
  3. Step 3: Cross multiply
    13,546.63x = 20,316.91 × 5,223.88
  4. Step 4: Simplify right side
    13,546.63x = 106,133,099.81
  5. Step 5: Solve for x
    x = 106,133,099.81/13,546.63
  6. Step 6: Final answer
    x = 7,834.65

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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.