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Finding the Fourth Proportional to 25,794.32, 38,692.20 and 8,277.20

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Solution

The fourth proportional to 25,794.32, 38,692.20 and 8,277.20 is: 12,416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.32 : 38,692.20 = 8,277.20 : x
  2. Step 2: Convert to fraction form
    25,794.32/38,692.20 = 8,277.20/x
  3. Step 3: Cross multiply
    25,794.32x = 38,692.20 × 8,277.20
  4. Step 4: Simplify right side
    25,794.32x = 320,263,077.84
  5. Step 5: Solve for x
    x = 320,263,077.84/25,794.32
  6. Step 6: Final answer
    x = 12,416.03

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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.