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Finding the Fourth Proportional to 17,805.85, 24,575.10 and 10,256.56

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Solution

The fourth proportional to 17,805.85, 24,575.10 and 10,256.56 is: 14,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.85 : 24,575.10 = 10,256.56 : x
  2. Step 2: Convert to fraction form
    17,805.85/24,575.10 = 10,256.56/x
  3. Step 3: Cross multiply
    17,805.85x = 24,575.10 × 10,256.56
  4. Step 4: Simplify right side
    17,805.85x = 252,055,887.76
  5. Step 5: Solve for x
    x = 252,055,887.76/17,805.85
  6. Step 6: Final answer
    x = 14,155.79

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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.