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Finding the Fourth Proportional to 17,693.82, 24,417.28 and 9,736.05

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Solution

The fourth proportional to 17,693.82, 24,417.28 and 9,736.05 is: 13,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.82 : 24,417.28 = 9,736.05 : x
  2. Step 2: Convert to fraction form
    17,693.82/24,417.28 = 9,736.05/x
  3. Step 3: Cross multiply
    17,693.82x = 24,417.28 × 9,736.05
  4. Step 4: Simplify right side
    17,693.82x = 237,727,858.94
  5. Step 5: Solve for x
    x = 237,727,858.94/17,693.82
  6. Step 6: Final answer
    x = 13,435.64

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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.