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Finding the Fourth Proportional to 12,955.38, 19,426.68 and 5,457.57

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Solution

The fourth proportional to 12,955.38, 19,426.68 and 5,457.57 is: 8,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.38 : 19,426.68 = 5,457.57 : x
  2. Step 2: Convert to fraction form
    12,955.38/19,426.68 = 5,457.57/x
  3. Step 3: Cross multiply
    12,955.38x = 19,426.68 × 5,457.57
  4. Step 4: Simplify right side
    12,955.38x = 106,022,465.97
  5. Step 5: Solve for x
    x = 106,022,465.97/12,955.38
  6. Step 6: Final answer
    x = 8,183.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.