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Finding the Fourth Proportional to 16,643.82, 24,978.40 and 6,123.80

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Solution

The fourth proportional to 16,643.82, 24,978.40 and 6,123.80 is: 9,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.82 : 24,978.40 = 6,123.80 : x
  2. Step 2: Convert to fraction form
    16,643.82/24,978.40 = 6,123.80/x
  3. Step 3: Cross multiply
    16,643.82x = 24,978.40 × 6,123.80
  4. Step 4: Simplify right side
    16,643.82x = 152,962,725.92
  5. Step 5: Solve for x
    x = 152,962,725.92/16,643.82
  6. Step 6: Final answer
    x = 9,190.36

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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.