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Finding the Fourth Proportional to 14,968.64, 20,675.04 and 10,268.48

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Solution

The fourth proportional to 14,968.64, 20,675.04 and 10,268.48 is: 14,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.64 : 20,675.04 = 10,268.48 : x
  2. Step 2: Convert to fraction form
    14,968.64/20,675.04 = 10,268.48/x
  3. Step 3: Cross multiply
    14,968.64x = 20,675.04 × 10,268.48
  4. Step 4: Simplify right side
    14,968.64x = 212,301,234.74
  5. Step 5: Solve for x
    x = 212,301,234.74/14,968.64
  6. Step 6: Final answer
    x = 14,183.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.