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Finding the Fourth Proportional to 17,693.05, 24,416.78 and 9,735.29

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Solution

The fourth proportional to 17,693.05, 24,416.78 and 9,735.29 is: 13,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.05 : 24,416.78 = 9,735.29 : x
  2. Step 2: Convert to fraction form
    17,693.05/24,416.78 = 9,735.29/x
  3. Step 3: Cross multiply
    17,693.05x = 24,416.78 × 9,735.29
  4. Step 4: Simplify right side
    17,693.05x = 237,704,434.17
  5. Step 5: Solve for x
    x = 237,704,434.17/17,693.05
  6. Step 6: Final answer
    x = 13,434.90

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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.