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Finding the Fourth Proportional to 24,568, 33,903.81 and 13,390

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Solution

The fourth proportional to 24,568, 33,903.81 and 13,390 is: 18,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,568 : 33,903.81 = 13,390 : x
  2. Step 2: Convert to fraction form
    24,568/33,903.81 = 13,390/x
  3. Step 3: Cross multiply
    24,568x = 33,903.81 × 13,390
  4. Step 4: Simplify right side
    24,568x = 453,972,015.90
  5. Step 5: Solve for x
    x = 453,972,015.90/24,568
  6. Step 6: Final answer
    x = 18,478.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.