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Finding the Fourth Proportional to 16,549.37, 24,825.88 and 4,863.50

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Solution

The fourth proportional to 16,549.37, 24,825.88 and 4,863.50 is: 7,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.37 : 24,825.88 = 4,863.50 : x
  2. Step 2: Convert to fraction form
    16,549.37/24,825.88 = 4,863.50/x
  3. Step 3: Cross multiply
    16,549.37x = 24,825.88 × 4,863.50
  4. Step 4: Simplify right side
    16,549.37x = 120,740,667.38
  5. Step 5: Solve for x
    x = 120,740,667.38/16,549.37
  6. Step 6: Final answer
    x = 7,295.79

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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.