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Finding the Fourth Proportional to 14,384.11, 19,850.04 and 8,096.47

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Solution

The fourth proportional to 14,384.11, 19,850.04 and 8,096.47 is: 11,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.11 : 19,850.04 = 8,096.47 : x
  2. Step 2: Convert to fraction form
    14,384.11/19,850.04 = 8,096.47/x
  3. Step 3: Cross multiply
    14,384.11x = 19,850.04 × 8,096.47
  4. Step 4: Simplify right side
    14,384.11x = 160,715,253.36
  5. Step 5: Solve for x
    x = 160,715,253.36/14,384.11
  6. Step 6: Final answer
    x = 11,173.11

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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.