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Finding the Fourth Proportional to 17,821.66, 24,591.18 and 10,165

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Solution

The fourth proportional to 17,821.66, 24,591.18 and 10,165 is: 14,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.66 : 24,591.18 = 10,165 : x
  2. Step 2: Convert to fraction form
    17,821.66/24,591.18 = 10,165/x
  3. Step 3: Cross multiply
    17,821.66x = 24,591.18 × 10,165
  4. Step 4: Simplify right side
    17,821.66x = 249,969,344.70
  5. Step 5: Solve for x
    x = 249,969,344.70/17,821.66
  6. Step 6: Final answer
    x = 14,026.15

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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.