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Finding the Fourth Proportional to 17,808.12, 24,573.96 and 9,849.60

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Solution

The fourth proportional to 17,808.12, 24,573.96 and 9,849.60 is: 13,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.12 : 24,573.96 = 9,849.60 : x
  2. Step 2: Convert to fraction form
    17,808.12/24,573.96 = 9,849.60/x
  3. Step 3: Cross multiply
    17,808.12x = 24,573.96 × 9,849.60
  4. Step 4: Simplify right side
    17,808.12x = 242,043,676.42
  5. Step 5: Solve for x
    x = 242,043,676.42/17,808.12
  6. Step 6: Final answer
    x = 13,591.76

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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.