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Finding the Fourth Proportional to 20,759.76, 28,649.16 and 11,328.84

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Solution

The fourth proportional to 20,759.76, 28,649.16 and 11,328.84 is: 15,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,759.76 : 28,649.16 = 11,328.84 : x
  2. Step 2: Convert to fraction form
    20,759.76/28,649.16 = 11,328.84/x
  3. Step 3: Cross multiply
    20,759.76x = 28,649.16 × 11,328.84
  4. Step 4: Simplify right side
    20,759.76x = 324,561,749.77
  5. Step 5: Solve for x
    x = 324,561,749.77/20,759.76
  6. Step 6: Final answer
    x = 15,634.18

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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.