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Finding the Fourth Proportional to 27,697.70, 38,222.82 and 17,093.45

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Solution

The fourth proportional to 27,697.70, 38,222.82 and 17,093.45 is: 23,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.70 : 38,222.82 = 17,093.45 : x
  2. Step 2: Convert to fraction form
    27,697.70/38,222.82 = 17,093.45/x
  3. Step 3: Cross multiply
    27,697.70x = 38,222.82 × 17,093.45
  4. Step 4: Simplify right side
    27,697.70x = 653,359,671.41
  5. Step 5: Solve for x
    x = 653,359,671.41/27,697.70
  6. Step 6: Final answer
    x = 23,588.95

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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.