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Finding the Fourth Proportional to 12,156.80, 16,776.38 and 6,567.80

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Solution

The fourth proportional to 12,156.80, 16,776.38 and 6,567.80 is: 9,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.80 : 16,776.38 = 6,567.80 : x
  2. Step 2: Convert to fraction form
    12,156.80/16,776.38 = 6,567.80/x
  3. Step 3: Cross multiply
    12,156.80x = 16,776.38 × 6,567.80
  4. Step 4: Simplify right side
    12,156.80x = 110,183,908.56
  5. Step 5: Solve for x
    x = 110,183,908.56/12,156.80
  6. Step 6: Final answer
    x = 9,063.56

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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.