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Finding the Fourth Proportional to 13,268.96, 19,907.76 and 6,344

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Solution

The fourth proportional to 13,268.96, 19,907.76 and 6,344 is: 9,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,268.96 : 19,907.76 = 6,344 : x
  2. Step 2: Convert to fraction form
    13,268.96/19,907.76 = 6,344/x
  3. Step 3: Cross multiply
    13,268.96x = 19,907.76 × 6,344
  4. Step 4: Simplify right side
    13,268.96x = 126,294,829.44
  5. Step 5: Solve for x
    x = 126,294,829.44/13,268.96
  6. Step 6: Final answer
    x = 9,518.07

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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.