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Finding the Fourth Proportional to 17,733.83, 24,471.54 and 9,776.12

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Solution

The fourth proportional to 17,733.83, 24,471.54 and 9,776.12 is: 13,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.83 : 24,471.54 = 9,776.12 : x
  2. Step 2: Convert to fraction form
    17,733.83/24,471.54 = 9,776.12/x
  3. Step 3: Cross multiply
    17,733.83x = 24,471.54 × 9,776.12
  4. Step 4: Simplify right side
    17,733.83x = 239,236,589.27
  5. Step 5: Solve for x
    x = 239,236,589.27/17,733.83
  6. Step 6: Final answer
    x = 13,490.41

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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.