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Finding the Fourth Proportional to 26,343, 36,353.36 and 14,407.46

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Solution

The fourth proportional to 26,343, 36,353.36 and 14,407.46 is: 19,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,343 : 36,353.36 = 14,407.46 : x
  2. Step 2: Convert to fraction form
    26,343/36,353.36 = 14,407.46/x
  3. Step 3: Cross multiply
    26,343x = 36,353.36 × 14,407.46
  4. Step 4: Simplify right side
    26,343x = 523,759,580.07
  5. Step 5: Solve for x
    x = 523,759,580.07/26,343
  6. Step 6: Final answer
    x = 19,882.31

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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.