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Finding the Fourth Proportional to 25,158.26, 37,742.80 and 7,629.50

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Solution

The fourth proportional to 25,158.26, 37,742.80 and 7,629.50 is: 11,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,158.26 : 37,742.80 = 7,629.50 : x
  2. Step 2: Convert to fraction form
    25,158.26/37,742.80 = 7,629.50/x
  3. Step 3: Cross multiply
    25,158.26x = 37,742.80 × 7,629.50
  4. Step 4: Simplify right side
    25,158.26x = 287,958,692.60
  5. Step 5: Solve for x
    x = 287,958,692.60/25,158.26
  6. Step 6: Final answer
    x = 11,445.89

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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.