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Finding the Fourth Proportional to 17,830.74, 24,605.60 and 10,278.42

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Solution

The fourth proportional to 17,830.74, 24,605.60 and 10,278.42 is: 14,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.74 : 24,605.60 = 10,278.42 : x
  2. Step 2: Convert to fraction form
    17,830.74/24,605.60 = 10,278.42/x
  3. Step 3: Cross multiply
    17,830.74x = 24,605.60 × 10,278.42
  4. Step 4: Simplify right side
    17,830.74x = 252,906,639.76
  5. Step 5: Solve for x
    x = 252,906,639.76/17,830.74
  6. Step 6: Final answer
    x = 14,183.74

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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.