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Finding the Fourth Proportional to 17,776.99, 24,524.60 and 10,221.58

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Solution

The fourth proportional to 17,776.99, 24,524.60 and 10,221.58 is: 14,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.99 : 24,524.60 = 10,221.58 : x
  2. Step 2: Convert to fraction form
    17,776.99/24,524.60 = 10,221.58/x
  3. Step 3: Cross multiply
    17,776.99x = 24,524.60 × 10,221.58
  4. Step 4: Simplify right side
    17,776.99x = 250,680,160.87
  5. Step 5: Solve for x
    x = 250,680,160.87/17,776.99
  6. Step 6: Final answer
    x = 14,101.38

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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.