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Finding the Fourth Proportional to 13,206.52, 18,214.50 and 11,223.64

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Solution

The fourth proportional to 13,206.52, 18,214.50 and 11,223.64 is: 15,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.52 : 18,214.50 = 11,223.64 : x
  2. Step 2: Convert to fraction form
    13,206.52/18,214.50 = 11,223.64/x
  3. Step 3: Cross multiply
    13,206.52x = 18,214.50 × 11,223.64
  4. Step 4: Simplify right side
    13,206.52x = 204,432,990.78
  5. Step 5: Solve for x
    x = 204,432,990.78/13,206.52
  6. Step 6: Final answer
    x = 15,479.70

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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.