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Finding the Fourth Proportional to 34,427.60, 51,626.04 and 9,797.84

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Solution

The fourth proportional to 34,427.60, 51,626.04 and 9,797.84 is: 14,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427.60 : 51,626.04 = 9,797.84 : x
  2. Step 2: Convert to fraction form
    34,427.60/51,626.04 = 9,797.84/x
  3. Step 3: Cross multiply
    34,427.60x = 51,626.04 × 9,797.84
  4. Step 4: Simplify right side
    34,427.60x = 505,823,679.75
  5. Step 5: Solve for x
    x = 505,823,679.75/34,427.60
  6. Step 6: Final answer
    x = 14,692.39

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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.