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Finding the Fourth Proportional to 21,770.76, 30,043.64 and 11,834.76

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Solution

The fourth proportional to 21,770.76, 30,043.64 and 11,834.76 is: 16,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.76 : 30,043.64 = 11,834.76 : x
  2. Step 2: Convert to fraction form
    21,770.76/30,043.64 = 11,834.76/x
  3. Step 3: Cross multiply
    21,770.76x = 30,043.64 × 11,834.76
  4. Step 4: Simplify right side
    21,770.76x = 355,559,268.93
  5. Step 5: Solve for x
    x = 355,559,268.93/21,770.76
  6. Step 6: Final answer
    x = 16,331.96

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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.