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Finding the Fourth Proportional to 26,154, 36,097.38 and 14,976

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Solution

The fourth proportional to 26,154, 36,097.38 and 14,976 is: 20,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,154 : 36,097.38 = 14,976 : x
  2. Step 2: Convert to fraction form
    26,154/36,097.38 = 14,976/x
  3. Step 3: Cross multiply
    26,154x = 36,097.38 × 14,976
  4. Step 4: Simplify right side
    26,154x = 540,594,362.88
  5. Step 5: Solve for x
    x = 540,594,362.88/26,154
  6. Step 6: Final answer
    x = 20,669.66

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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.