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Finding the Fourth Proportional to 23,321.56, 32,180.88 and 17,023

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Solution

The fourth proportional to 23,321.56, 32,180.88 and 17,023 is: 23,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,321.56 : 32,180.88 = 17,023 : x
  2. Step 2: Convert to fraction form
    23,321.56/32,180.88 = 17,023/x
  3. Step 3: Cross multiply
    23,321.56x = 32,180.88 × 17,023
  4. Step 4: Simplify right side
    23,321.56x = 547,815,120.24
  5. Step 5: Solve for x
    x = 547,815,120.24/23,321.56
  6. Step 6: Final answer
    x = 23,489.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.