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Finding the Fourth Proportional to 17,029.12, 23,499.96 and 9,577.12

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Solution

The fourth proportional to 17,029.12, 23,499.96 and 9,577.12 is: 13,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029.12 : 23,499.96 = 9,577.12 : x
  2. Step 2: Convert to fraction form
    17,029.12/23,499.96 = 9,577.12/x
  3. Step 3: Cross multiply
    17,029.12x = 23,499.96 × 9,577.12
  4. Step 4: Simplify right side
    17,029.12x = 225,061,936.92
  5. Step 5: Solve for x
    x = 225,061,936.92/17,029.12
  6. Step 6: Final answer
    x = 13,216.30

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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.