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Finding the Fourth Proportional to 27,914.63, 38,524.01 and 17,311.32

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Solution

The fourth proportional to 27,914.63, 38,524.01 and 17,311.32 is: 23,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.63 : 38,524.01 = 17,311.32 : x
  2. Step 2: Convert to fraction form
    27,914.63/38,524.01 = 17,311.32/x
  3. Step 3: Cross multiply
    27,914.63x = 38,524.01 × 17,311.32
  4. Step 4: Simplify right side
    27,914.63x = 666,901,378.24
  5. Step 5: Solve for x
    x = 666,901,378.24/27,914.63
  6. Step 6: Final answer
    x = 23,890.75

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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.