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Finding the Fourth Proportional to 26,896.38, 37,114.16 and 14,957.80

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Solution

The fourth proportional to 26,896.38, 37,114.16 and 14,957.80 is: 20,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,896.38 : 37,114.16 = 14,957.80 : x
  2. Step 2: Convert to fraction form
    26,896.38/37,114.16 = 14,957.80/x
  3. Step 3: Cross multiply
    26,896.38x = 37,114.16 × 14,957.80
  4. Step 4: Simplify right side
    26,896.38x = 555,146,182.45
  5. Step 5: Solve for x
    x = 555,146,182.45/26,896.38
  6. Step 6: Final answer
    x = 20,640.18

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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.