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Finding the Fourth Proportional to 17,693.26, 24,416.13 and 9,735.47

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Solution

The fourth proportional to 17,693.26, 24,416.13 and 9,735.47 is: 13,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.26 : 24,416.13 = 9,735.47 : x
  2. Step 2: Convert to fraction form
    17,693.26/24,416.13 = 9,735.47/x
  3. Step 3: Cross multiply
    17,693.26x = 24,416.13 × 9,735.47
  4. Step 4: Simplify right side
    17,693.26x = 237,702,438.45
  5. Step 5: Solve for x
    x = 237,702,438.45/17,693.26
  6. Step 6: Final answer
    x = 13,434.63

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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.