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Finding the Fourth Proportional to 18,365.24, 25,344.42 and 10,407

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Solution

The fourth proportional to 18,365.24, 25,344.42 and 10,407 is: 14,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,365.24 : 25,344.42 = 10,407 : x
  2. Step 2: Convert to fraction form
    18,365.24/25,344.42 = 10,407/x
  3. Step 3: Cross multiply
    18,365.24x = 25,344.42 × 10,407
  4. Step 4: Simplify right side
    18,365.24x = 263,759,378.94
  5. Step 5: Solve for x
    x = 263,759,378.94/18,365.24
  6. Step 6: Final answer
    x = 14,361.88

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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.