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Finding the Fourth Proportional to 26,675.69, 36,809.31 and 14,738.31

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Solution

The fourth proportional to 26,675.69, 36,809.31 and 14,738.31 is: 20,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,675.69 : 36,809.31 = 14,738.31 : x
  2. Step 2: Convert to fraction form
    26,675.69/36,809.31 = 14,738.31/x
  3. Step 3: Cross multiply
    26,675.69x = 36,809.31 × 14,738.31
  4. Step 4: Simplify right side
    26,675.69x = 542,507,021.67
  5. Step 5: Solve for x
    x = 542,507,021.67/26,675.69
  6. Step 6: Final answer
    x = 20,337.14

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1.5x scale

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.