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Finding the Fourth Proportional to 16,562.80, 24,848.28 and 8,246.80

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Solution

The fourth proportional to 16,562.80, 24,848.28 and 8,246.80 is: 12,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.80 : 24,848.28 = 8,246.80 : x
  2. Step 2: Convert to fraction form
    16,562.80/24,848.28 = 8,246.80/x
  3. Step 3: Cross multiply
    16,562.80x = 24,848.28 × 8,246.80
  4. Step 4: Simplify right side
    16,562.80x = 204,918,795.50
  5. Step 5: Solve for x
    x = 204,918,795.50/16,562.80
  6. Step 6: Final answer
    x = 12,372.23

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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.