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Finding the Fourth Proportional to 23,969.60, 35,966.53 and 16,162

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Solution

The fourth proportional to 23,969.60, 35,966.53 and 16,162 is: 24,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.60 : 35,966.53 = 16,162 : x
  2. Step 2: Convert to fraction form
    23,969.60/35,966.53 = 16,162/x
  3. Step 3: Cross multiply
    23,969.60x = 35,966.53 × 16,162
  4. Step 4: Simplify right side
    23,969.60x = 581,291,057.86
  5. Step 5: Solve for x
    x = 581,291,057.86/23,969.60
  6. Step 6: Final answer
    x = 24,251.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.