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Finding the Fourth Proportional to 14,268.96, 19,692 and 10,725.84

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Solution

The fourth proportional to 14,268.96, 19,692 and 10,725.84 is: 14,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.96 : 19,692 = 10,725.84 : x
  2. Step 2: Convert to fraction form
    14,268.96/19,692 = 10,725.84/x
  3. Step 3: Cross multiply
    14,268.96x = 19,692 × 10,725.84
  4. Step 4: Simplify right side
    14,268.96x = 211,213,241.28
  5. Step 5: Solve for x
    x = 211,213,241.28/14,268.96
  6. Step 6: Final answer
    x = 14,802.29

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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.