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Finding the Fourth Proportional to 14,206.08, 19,604.40 and 8,544

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Solution

The fourth proportional to 14,206.08, 19,604.40 and 8,544 is: 11,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.08 : 19,604.40 = 8,544 : x
  2. Step 2: Convert to fraction form
    14,206.08/19,604.40 = 8,544/x
  3. Step 3: Cross multiply
    14,206.08x = 19,604.40 × 8,544
  4. Step 4: Simplify right side
    14,206.08x = 167,499,993.60
  5. Step 5: Solve for x
    x = 167,499,993.60/14,206.08
  6. Step 6: Final answer
    x = 11,790.73

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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.