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Finding the Fourth Proportional to 12,057.65, 16,632.19 and 7,969.45

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Solution

The fourth proportional to 12,057.65, 16,632.19 and 7,969.45 is: 10,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.65 : 16,632.19 = 7,969.45 : x
  2. Step 2: Convert to fraction form
    12,057.65/16,632.19 = 7,969.45/x
  3. Step 3: Cross multiply
    12,057.65x = 16,632.19 × 7,969.45
  4. Step 4: Simplify right side
    12,057.65x = 132,549,406.60
  5. Step 5: Solve for x
    x = 132,549,406.60/12,057.65
  6. Step 6: Final answer
    x = 10,992.97

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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.