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Finding the Fourth Proportional to 17,954.76, 24,773.82 and 10,400.64

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Solution

The fourth proportional to 17,954.76, 24,773.82 and 10,400.64 is: 14,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.76 : 24,773.82 = 10,400.64 : x
  2. Step 2: Convert to fraction form
    17,954.76/24,773.82 = 10,400.64/x
  3. Step 3: Cross multiply
    17,954.76x = 24,773.82 × 10,400.64
  4. Step 4: Simplify right side
    17,954.76x = 257,663,583.24
  5. Step 5: Solve for x
    x = 257,663,583.24/17,954.76
  6. Step 6: Final answer
    x = 14,350.71

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1.5x scale

Why These Related Problems?

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