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Finding the Fourth Proportional to 16,548.53, 24,822.78 and 6,687.80

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Solution

The fourth proportional to 16,548.53, 24,822.78 and 6,687.80 is: 10,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.53 : 24,822.78 = 6,687.80 : x
  2. Step 2: Convert to fraction form
    16,548.53/24,822.78 = 6,687.80/x
  3. Step 3: Cross multiply
    16,548.53x = 24,822.78 × 6,687.80
  4. Step 4: Simplify right side
    16,548.53x = 166,009,855.51
  5. Step 5: Solve for x
    x = 166,009,855.51/16,548.53
  6. Step 6: Final answer
    x = 10,031.70

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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.