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Finding the Fourth Proportional to 24,428.70, 33,708.77 and 13,674.17

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Solution

The fourth proportional to 24,428.70, 33,708.77 and 13,674.17 is: 18,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.70 : 33,708.77 = 13,674.17 : x
  2. Step 2: Convert to fraction form
    24,428.70/33,708.77 = 13,674.17/x
  3. Step 3: Cross multiply
    24,428.70x = 33,708.77 × 13,674.17
  4. Step 4: Simplify right side
    24,428.70x = 460,939,383.10
  5. Step 5: Solve for x
    x = 460,939,383.10/24,428.70
  6. Step 6: Final answer
    x = 18,868.76

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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.