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Finding the Fourth Proportional to 25,914.21, 35,825.40 and 25,677.42

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Solution

The fourth proportional to 25,914.21, 35,825.40 and 25,677.42 is: 35,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.21 : 35,825.40 = 25,677.42 : x
  2. Step 2: Convert to fraction form
    25,914.21/35,825.40 = 25,677.42/x
  3. Step 3: Cross multiply
    25,914.21x = 35,825.40 × 25,677.42
  4. Step 4: Simplify right side
    25,914.21x = 919,903,842.47
  5. Step 5: Solve for x
    x = 919,903,842.47/25,914.21
  6. Step 6: Final answer
    x = 35,498.05

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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.