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Finding the Fourth Proportional to 16,873.02, 25,308.24 and 5,185.50

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Solution

The fourth proportional to 16,873.02, 25,308.24 and 5,185.50 is: 7,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,873.02 : 25,308.24 = 5,185.50 : x
  2. Step 2: Convert to fraction form
    16,873.02/25,308.24 = 5,185.50/x
  3. Step 3: Cross multiply
    16,873.02x = 25,308.24 × 5,185.50
  4. Step 4: Simplify right side
    16,873.02x = 131,235,878.52
  5. Step 5: Solve for x
    x = 131,235,878.52/16,873.02
  6. Step 6: Final answer
    x = 7,777.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.