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Finding the Fourth Proportional to 12,174.43, 16,804.31 and 7,139.74

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Solution

The fourth proportional to 12,174.43, 16,804.31 and 7,139.74 is: 9,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.43 : 16,804.31 = 7,139.74 : x
  2. Step 2: Convert to fraction form
    12,174.43/16,804.31 = 7,139.74/x
  3. Step 3: Cross multiply
    12,174.43x = 16,804.31 × 7,139.74
  4. Step 4: Simplify right side
    12,174.43x = 119,978,284.56
  5. Step 5: Solve for x
    x = 119,978,284.56/12,174.43
  6. Step 6: Final answer
    x = 9,854.94

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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.