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Finding the Fourth Proportional to 26,229, 36,196.02 and 14,453

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Solution

The fourth proportional to 26,229, 36,196.02 and 14,453 is: 19,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,229 : 36,196.02 = 14,453 : x
  2. Step 2: Convert to fraction form
    26,229/36,196.02 = 14,453/x
  3. Step 3: Cross multiply
    26,229x = 36,196.02 × 14,453
  4. Step 4: Simplify right side
    26,229x = 523,141,077.06
  5. Step 5: Solve for x
    x = 523,141,077.06/26,229
  6. Step 6: Final answer
    x = 19,945.14

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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.