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Finding the Fourth Proportional to 13,182.24, 18,196.74 and 8,646.65

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Solution

The fourth proportional to 13,182.24, 18,196.74 and 8,646.65 is: 11,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.24 : 18,196.74 = 8,646.65 : x
  2. Step 2: Convert to fraction form
    13,182.24/18,196.74 = 8,646.65/x
  3. Step 3: Cross multiply
    13,182.24x = 18,196.74 × 8,646.65
  4. Step 4: Simplify right side
    13,182.24x = 157,340,750.94
  5. Step 5: Solve for x
    x = 157,340,750.94/13,182.24
  6. Step 6: Final answer
    x = 11,935.81

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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.