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Finding the Fourth Proportional to 17,093.64, 23,589.17 and 9,539.88

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Solution

The fourth proportional to 17,093.64, 23,589.17 and 9,539.88 is: 13,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093.64 : 23,589.17 = 9,539.88 : x
  2. Step 2: Convert to fraction form
    17,093.64/23,589.17 = 9,539.88/x
  3. Step 3: Cross multiply
    17,093.64x = 23,589.17 × 9,539.88
  4. Step 4: Simplify right side
    17,093.64x = 225,037,862.37
  5. Step 5: Solve for x
    x = 225,037,862.37/17,093.64
  6. Step 6: Final answer
    x = 13,165.01

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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.