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Finding the Fourth Proportional to 17,738.10, 24,476.94 and 9,778.32

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Solution

The fourth proportional to 17,738.10, 24,476.94 and 9,778.32 is: 13,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.10 : 24,476.94 = 9,778.32 : x
  2. Step 2: Convert to fraction form
    17,738.10/24,476.94 = 9,778.32/x
  3. Step 3: Cross multiply
    17,738.10x = 24,476.94 × 9,778.32
  4. Step 4: Simplify right side
    17,738.10x = 239,343,351.94
  5. Step 5: Solve for x
    x = 239,343,351.94/17,738.10
  6. Step 6: Final answer
    x = 13,493.18

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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.