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Finding the Fourth Proportional to 25,380.28, 35,025.72 and 13,896

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Solution

The fourth proportional to 25,380.28, 35,025.72 and 13,896 is: 19,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.28 : 35,025.72 = 13,896 : x
  2. Step 2: Convert to fraction form
    25,380.28/35,025.72 = 13,896/x
  3. Step 3: Cross multiply
    25,380.28x = 35,025.72 × 13,896
  4. Step 4: Simplify right side
    25,380.28x = 486,717,405.12
  5. Step 5: Solve for x
    x = 486,717,405.12/25,380.28
  6. Step 6: Final answer
    x = 19,176.99

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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.