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Finding the Fourth Proportional to 17,665.36, 24,378.09 and 9,707.40

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Solution

The fourth proportional to 17,665.36, 24,378.09 and 9,707.40 is: 13,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.36 : 24,378.09 = 9,707.40 : x
  2. Step 2: Convert to fraction form
    17,665.36/24,378.09 = 9,707.40/x
  3. Step 3: Cross multiply
    17,665.36x = 24,378.09 × 9,707.40
  4. Step 4: Simplify right side
    17,665.36x = 236,647,870.87
  5. Step 5: Solve for x
    x = 236,647,870.87/17,665.36
  6. Step 6: Final answer
    x = 13,396.15

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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.