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Finding the Fourth Proportional to 17,693.62, 24,417.24 and 9,736.42

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Solution

The fourth proportional to 17,693.62, 24,417.24 and 9,736.42 is: 13,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.62 : 24,417.24 = 9,736.42 : x
  2. Step 2: Convert to fraction form
    17,693.62/24,417.24 = 9,736.42/x
  3. Step 3: Cross multiply
    17,693.62x = 24,417.24 × 9,736.42
  4. Step 4: Simplify right side
    17,693.62x = 237,736,503.88
  5. Step 5: Solve for x
    x = 237,736,503.88/17,693.62
  6. Step 6: Final answer
    x = 13,436.28

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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.