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Finding the Fourth Proportional to 25,869.36, 35,694.36 and 16,434.48

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Solution

The fourth proportional to 25,869.36, 35,694.36 and 16,434.48 is: 22,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869.36 : 35,694.36 = 16,434.48 : x
  2. Step 2: Convert to fraction form
    25,869.36/35,694.36 = 16,434.48/x
  3. Step 3: Cross multiply
    25,869.36x = 35,694.36 × 16,434.48
  4. Step 4: Simplify right side
    25,869.36x = 586,618,245.53
  5. Step 5: Solve for x
    x = 586,618,245.53/25,869.36
  6. Step 6: Final answer
    x = 22,676.18

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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.