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Finding the Fourth Proportional to 16,724.60, 23,080.16 and 9,170.90

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Solution

The fourth proportional to 16,724.60, 23,080.16 and 9,170.90 is: 12,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.60 : 23,080.16 = 9,170.90 : x
  2. Step 2: Convert to fraction form
    16,724.60/23,080.16 = 9,170.90/x
  3. Step 3: Cross multiply
    16,724.60x = 23,080.16 × 9,170.90
  4. Step 4: Simplify right side
    16,724.60x = 211,665,851.19
  5. Step 5: Solve for x
    x = 211,665,851.19/16,724.60
  6. Step 6: Final answer
    x = 12,655.96

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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.