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Finding the Fourth Proportional to 26,247, 36,220.86 and 14,471

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Solution

The fourth proportional to 26,247, 36,220.86 and 14,471 is: 19,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,247 : 36,220.86 = 14,471 : x
  2. Step 2: Convert to fraction form
    26,247/36,220.86 = 14,471/x
  3. Step 3: Cross multiply
    26,247x = 36,220.86 × 14,471
  4. Step 4: Simplify right side
    26,247x = 524,152,065.06
  5. Step 5: Solve for x
    x = 524,152,065.06/26,247
  6. Step 6: Final answer
    x = 19,969.98

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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.