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Finding the Fourth Proportional to 14,491.34, 19,996.80 and 8,440.64

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Solution

The fourth proportional to 14,491.34, 19,996.80 and 8,440.64 is: 11,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.34 : 19,996.80 = 8,440.64 : x
  2. Step 2: Convert to fraction form
    14,491.34/19,996.80 = 8,440.64/x
  3. Step 3: Cross multiply
    14,491.34x = 19,996.80 × 8,440.64
  4. Step 4: Simplify right side
    14,491.34x = 168,785,789.95
  5. Step 5: Solve for x
    x = 168,785,789.95/14,491.34
  6. Step 6: Final answer
    x = 11,647.36

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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.