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Finding the Fourth Proportional to 17,736.11, 24,476.93 and 9,778.32

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Solution

The fourth proportional to 17,736.11, 24,476.93 and 9,778.32 is: 13,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.11 : 24,476.93 = 9,778.32 : x
  2. Step 2: Convert to fraction form
    17,736.11/24,476.93 = 9,778.32/x
  3. Step 3: Cross multiply
    17,736.11x = 24,476.93 × 9,778.32
  4. Step 4: Simplify right side
    17,736.11x = 239,343,205.27
  5. Step 5: Solve for x
    x = 239,343,205.27/17,736.11
  6. Step 6: Final answer
    x = 13,494.69

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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.