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Finding the Fourth Proportional to 16,482.10, 22,745.34 and 8,928.46

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Solution

The fourth proportional to 16,482.10, 22,745.34 and 8,928.46 is: 12,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.10 : 22,745.34 = 8,928.46 : x
  2. Step 2: Convert to fraction form
    16,482.10/22,745.34 = 8,928.46/x
  3. Step 3: Cross multiply
    16,482.10x = 22,745.34 × 8,928.46
  4. Step 4: Simplify right side
    16,482.10x = 203,080,858.38
  5. Step 5: Solve for x
    x = 203,080,858.38/16,482.10
  6. Step 6: Final answer
    x = 12,321.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.