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Finding the Fourth Proportional to 25,414.72, 35,072.16 and 14,236.80

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Solution

The fourth proportional to 25,414.72, 35,072.16 and 14,236.80 is: 19,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.72 : 35,072.16 = 14,236.80 : x
  2. Step 2: Convert to fraction form
    25,414.72/35,072.16 = 14,236.80/x
  3. Step 3: Cross multiply
    25,414.72x = 35,072.16 × 14,236.80
  4. Step 4: Simplify right side
    25,414.72x = 499,315,327.49
  5. Step 5: Solve for x
    x = 499,315,327.49/25,414.72
  6. Step 6: Final answer
    x = 19,646.70

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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.