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Finding the Fourth Proportional to 25,749.50, 35,530.20 and 14,419.49

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Solution

The fourth proportional to 25,749.50, 35,530.20 and 14,419.49 is: 19,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,749.50 : 35,530.20 = 14,419.49 : x
  2. Step 2: Convert to fraction form
    25,749.50/35,530.20 = 14,419.49/x
  3. Step 3: Cross multiply
    25,749.50x = 35,530.20 × 14,419.49
  4. Step 4: Simplify right side
    25,749.50x = 512,327,363.60
  5. Step 5: Solve for x
    x = 512,327,363.60/25,749.50
  6. Step 6: Final answer
    x = 19,896.59

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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.