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Finding the Fourth Proportional to 25,816.50, 35,621.28 and 15,202.26

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Solution

The fourth proportional to 25,816.50, 35,621.28 and 15,202.26 is: 20,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.50 : 35,621.28 = 15,202.26 : x
  2. Step 2: Convert to fraction form
    25,816.50/35,621.28 = 15,202.26/x
  3. Step 3: Cross multiply
    25,816.50x = 35,621.28 × 15,202.26
  4. Step 4: Simplify right side
    25,816.50x = 541,523,960.09
  5. Step 5: Solve for x
    x = 541,523,960.09/25,816.50
  6. Step 6: Final answer
    x = 20,975.89

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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.