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Finding the Fourth Proportional to 13,286.22, 19,937.50 and 5,495

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Solution

The fourth proportional to 13,286.22, 19,937.50 and 5,495 is: 8,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.22 : 19,937.50 = 5,495 : x
  2. Step 2: Convert to fraction form
    13,286.22/19,937.50 = 5,495/x
  3. Step 3: Cross multiply
    13,286.22x = 19,937.50 × 5,495
  4. Step 4: Simplify right side
    13,286.22x = 109,556,562.50
  5. Step 5: Solve for x
    x = 109,556,562.50/13,286.22
  6. Step 6: Final answer
    x = 8,245.88

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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.