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Finding the Fourth Proportional to 17,933.32, 24,738.76 and 10,477

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Solution

The fourth proportional to 17,933.32, 24,738.76 and 10,477 is: 14,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.32 : 24,738.76 = 10,477 : x
  2. Step 2: Convert to fraction form
    17,933.32/24,738.76 = 10,477/x
  3. Step 3: Cross multiply
    17,933.32x = 24,738.76 × 10,477
  4. Step 4: Simplify right side
    17,933.32x = 259,187,988.52
  5. Step 5: Solve for x
    x = 259,187,988.52/17,933.32
  6. Step 6: Final answer
    x = 14,452.87

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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.