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Finding the Fourth Proportional to 12,155.80, 16,775.04 and 6,850.96

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Solution

The fourth proportional to 12,155.80, 16,775.04 and 6,850.96 is: 9,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.80 : 16,775.04 = 6,850.96 : x
  2. Step 2: Convert to fraction form
    12,155.80/16,775.04 = 6,850.96/x
  3. Step 3: Cross multiply
    12,155.80x = 16,775.04 × 6,850.96
  4. Step 4: Simplify right side
    12,155.80x = 114,925,128.04
  5. Step 5: Solve for x
    x = 114,925,128.04/12,155.80
  6. Step 6: Final answer
    x = 9,454.35

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