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Finding the Fourth Proportional to 25,414.34, 35,071.79 and 14,236.34

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Solution

The fourth proportional to 25,414.34, 35,071.79 and 14,236.34 is: 19,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.34 : 35,071.79 = 14,236.34 : x
  2. Step 2: Convert to fraction form
    25,414.34/35,071.79 = 14,236.34/x
  3. Step 3: Cross multiply
    25,414.34x = 35,071.79 × 14,236.34
  4. Step 4: Simplify right side
    25,414.34x = 499,293,926.85
  5. Step 5: Solve for x
    x = 499,293,926.85/25,414.34
  6. Step 6: Final answer
    x = 19,646.15

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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.