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Finding the Fourth Proportional to 27,710.64, 38,245.03 and 17,628.57

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Solution

The fourth proportional to 27,710.64, 38,245.03 and 17,628.57 is: 24,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.64 : 38,245.03 = 17,628.57 : x
  2. Step 2: Convert to fraction form
    27,710.64/38,245.03 = 17,628.57/x
  3. Step 3: Cross multiply
    27,710.64x = 38,245.03 × 17,628.57
  4. Step 4: Simplify right side
    27,710.64x = 674,205,144.44
  5. Step 5: Solve for x
    x = 674,205,144.44/27,710.64
  6. Step 6: Final answer
    x = 24,330.19

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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.