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Finding the Fourth Proportional to 14,911.40, 20,576.71 and 8,196.88

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Solution

The fourth proportional to 14,911.40, 20,576.71 and 8,196.88 is: 11,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.40 : 20,576.71 = 8,196.88 : x
  2. Step 2: Convert to fraction form
    14,911.40/20,576.71 = 8,196.88/x
  3. Step 3: Cross multiply
    14,911.40x = 20,576.71 × 8,196.88
  4. Step 4: Simplify right side
    14,911.40x = 168,664,822.66
  5. Step 5: Solve for x
    x = 168,664,822.66/14,911.40
  6. Step 6: Final answer
    x = 11,311.13

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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.