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Finding the Fourth Proportional to 14,384.93, 19,850.45 and 8,097.71

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Solution

The fourth proportional to 14,384.93, 19,850.45 and 8,097.71 is: 11,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.93 : 19,850.45 = 8,097.71 : x
  2. Step 2: Convert to fraction form
    14,384.93/19,850.45 = 8,097.71/x
  3. Step 3: Cross multiply
    14,384.93x = 19,850.45 × 8,097.71
  4. Step 4: Simplify right side
    14,384.93x = 160,743,047.73
  5. Step 5: Solve for x
    x = 160,743,047.73/14,384.93
  6. Step 6: Final answer
    x = 11,174.41

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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.