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Finding the Fourth Proportional to 25,772, 35,504.64 and 24,221.96

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Solution

The fourth proportional to 25,772, 35,504.64 and 24,221.96 is: 33,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772 : 35,504.64 = 24,221.96 : x
  2. Step 2: Convert to fraction form
    25,772/35,504.64 = 24,221.96/x
  3. Step 3: Cross multiply
    25,772x = 35,504.64 × 24,221.96
  4. Step 4: Simplify right side
    25,772x = 859,991,969.89
  5. Step 5: Solve for x
    x = 859,991,969.89/25,772
  6. Step 6: Final answer
    x = 33,369.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.