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Finding the Fourth Proportional to 25,697.70, 38,529.90 and 10,902.60

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Solution

The fourth proportional to 25,697.70, 38,529.90 and 10,902.60 is: 16,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.70 : 38,529.90 = 10,902.60 : x
  2. Step 2: Convert to fraction form
    25,697.70/38,529.90 = 10,902.60/x
  3. Step 3: Cross multiply
    25,697.70x = 38,529.90 × 10,902.60
  4. Step 4: Simplify right side
    25,697.70x = 420,076,087.74
  5. Step 5: Solve for x
    x = 420,076,087.74/25,697.70
  6. Step 6: Final answer
    x = 16,346.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.