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Finding the Fourth Proportional to 26,707.68, 36,846.90 and 20,577.40

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Solution

The fourth proportional to 26,707.68, 36,846.90 and 20,577.40 is: 28,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,707.68 : 36,846.90 = 20,577.40 : x
  2. Step 2: Convert to fraction form
    26,707.68/36,846.90 = 20,577.40/x
  3. Step 3: Cross multiply
    26,707.68x = 36,846.90 × 20,577.40
  4. Step 4: Simplify right side
    26,707.68x = 758,213,400.06
  5. Step 5: Solve for x
    x = 758,213,400.06/26,707.68
  6. Step 6: Final answer
    x = 28,389.34

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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.