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Finding the Fourth Proportional to 16,825.78, 25,232.10 and 4,976.20

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Solution

The fourth proportional to 16,825.78, 25,232.10 and 4,976.20 is: 7,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.78 : 25,232.10 = 4,976.20 : x
  2. Step 2: Convert to fraction form
    16,825.78/25,232.10 = 4,976.20/x
  3. Step 3: Cross multiply
    16,825.78x = 25,232.10 × 4,976.20
  4. Step 4: Simplify right side
    16,825.78x = 125,559,976.02
  5. Step 5: Solve for x
    x = 125,559,976.02/16,825.78
  6. Step 6: Final answer
    x = 7,462.36

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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.