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Finding the Fourth Proportional to 14,201.73, 19,594.89 and 8,821.71

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Solution

The fourth proportional to 14,201.73, 19,594.89 and 8,821.71 is: 12,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.73 : 19,594.89 = 8,821.71 : x
  2. Step 2: Convert to fraction form
    14,201.73/19,594.89 = 8,821.71/x
  3. Step 3: Cross multiply
    14,201.73x = 19,594.89 × 8,821.71
  4. Step 4: Simplify right side
    14,201.73x = 172,860,437.06
  5. Step 5: Solve for x
    x = 172,860,437.06/14,201.73
  6. Step 6: Final answer
    x = 12,171.79

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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.