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Finding the Fourth Proportional to 25,142.50, 34,692.79 and 14,530.08

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Solution

The fourth proportional to 25,142.50, 34,692.79 and 14,530.08 is: 20,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.50 : 34,692.79 = 14,530.08 : x
  2. Step 2: Convert to fraction form
    25,142.50/34,692.79 = 14,530.08/x
  3. Step 3: Cross multiply
    25,142.50x = 34,692.79 × 14,530.08
  4. Step 4: Simplify right side
    25,142.50x = 504,089,014.12
  5. Step 5: Solve for x
    x = 504,089,014.12/25,142.50
  6. Step 6: Final answer
    x = 20,049.28

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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.