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Finding the Fourth Proportional to 26,858.40, 40,301.40 and 20,324.64

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Solution

The fourth proportional to 26,858.40, 40,301.40 and 20,324.64 is: 30,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.40 : 40,301.40 = 20,324.64 : x
  2. Step 2: Convert to fraction form
    26,858.40/40,301.40 = 20,324.64/x
  3. Step 3: Cross multiply
    26,858.40x = 40,301.40 × 20,324.64
  4. Step 4: Simplify right side
    26,858.40x = 819,111,446.50
  5. Step 5: Solve for x
    x = 819,111,446.50/26,858.40
  6. Step 6: Final answer
    x = 30,497.40

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Why These Related Problems?

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