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Finding the Fourth Proportional to 17,028, 23,500.08 and 9,577.44

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Solution

The fourth proportional to 17,028, 23,500.08 and 9,577.44 is: 13,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,028 : 23,500.08 = 9,577.44 : x
  2. Step 2: Convert to fraction form
    17,028/23,500.08 = 9,577.44/x
  3. Step 3: Cross multiply
    17,028x = 23,500.08 × 9,577.44
  4. Step 4: Simplify right side
    17,028x = 225,070,606.20
  5. Step 5: Solve for x
    x = 225,070,606.20/17,028
  6. Step 6: Final answer
    x = 13,217.68

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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.