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Finding the Fourth Proportional to 26,530.76, 36,612.25 and 14,593.84

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Solution

The fourth proportional to 26,530.76, 36,612.25 and 14,593.84 is: 20,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530.76 : 36,612.25 = 14,593.84 : x
  2. Step 2: Convert to fraction form
    26,530.76/36,612.25 = 14,593.84/x
  3. Step 3: Cross multiply
    26,530.76x = 36,612.25 × 14,593.84
  4. Step 4: Simplify right side
    26,530.76x = 534,313,190.52
  5. Step 5: Solve for x
    x = 534,313,190.52/26,530.76
  6. Step 6: Final answer
    x = 20,139.38

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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.