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Finding the Fourth Proportional to 27,195.84, 40,759.20 and 11,597.76

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Solution

The fourth proportional to 27,195.84, 40,759.20 and 11,597.76 is: 17,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,195.84 : 40,759.20 = 11,597.76 : x
  2. Step 2: Convert to fraction form
    27,195.84/40,759.20 = 11,597.76/x
  3. Step 3: Cross multiply
    27,195.84x = 40,759.20 × 11,597.76
  4. Step 4: Simplify right side
    27,195.84x = 472,715,419.39
  5. Step 5: Solve for x
    x = 472,715,419.39/27,195.84
  6. Step 6: Final answer
    x = 17,381.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.