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Finding the Fourth Proportional to 12,842.57, 19,267.97 and 5,453.24

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Solution

The fourth proportional to 12,842.57, 19,267.97 and 5,453.24 is: 8,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.57 : 19,267.97 = 5,453.24 : x
  2. Step 2: Convert to fraction form
    12,842.57/19,267.97 = 5,453.24/x
  3. Step 3: Cross multiply
    12,842.57x = 19,267.97 × 5,453.24
  4. Step 4: Simplify right side
    12,842.57x = 105,072,741.12
  5. Step 5: Solve for x
    x = 105,072,741.12/12,842.57
  6. Step 6: Final answer
    x = 8,181.60

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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.