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Finding the Fourth Proportional to 13,098.63, 19,680.75 and 12,311.31

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Solution

The fourth proportional to 13,098.63, 19,680.75 and 12,311.31 is: 18,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.63 : 19,680.75 = 12,311.31 : x
  2. Step 2: Convert to fraction form
    13,098.63/19,680.75 = 12,311.31/x
  3. Step 3: Cross multiply
    13,098.63x = 19,680.75 × 12,311.31
  4. Step 4: Simplify right side
    13,098.63x = 242,295,814.28
  5. Step 5: Solve for x
    x = 242,295,814.28/13,098.63
  6. Step 6: Final answer
    x = 18,497.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.