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Finding the Fourth Proportional to 27,722.84, 38,261.84 and 17,655.62

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Solution

The fourth proportional to 27,722.84, 38,261.84 and 17,655.62 is: 24,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.84 : 38,261.84 = 17,655.62 : x
  2. Step 2: Convert to fraction form
    27,722.84/38,261.84 = 17,655.62/x
  3. Step 3: Cross multiply
    27,722.84x = 38,261.84 × 17,655.62
  4. Step 4: Simplify right side
    27,722.84x = 675,536,227.95
  5. Step 5: Solve for x
    x = 675,536,227.95/27,722.84
  6. Step 6: Final answer
    x = 24,367.50

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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.