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Finding the Fourth Proportional to 25,347.84, 34,942.89 and 17,771.30

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Solution

The fourth proportional to 25,347.84, 34,942.89 and 17,771.30 is: 24,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,347.84 : 34,942.89 = 17,771.30 : x
  2. Step 2: Convert to fraction form
    25,347.84/34,942.89 = 17,771.30/x
  3. Step 3: Cross multiply
    25,347.84x = 34,942.89 × 17,771.30
  4. Step 4: Simplify right side
    25,347.84x = 620,980,604.02
  5. Step 5: Solve for x
    x = 620,980,604.02/25,347.84
  6. Step 6: Final answer
    x = 24,498.37

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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.