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Finding the Fourth Proportional to 17,665.65, 24,378.81 and 9,707.82

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Solution

The fourth proportional to 17,665.65, 24,378.81 and 9,707.82 is: 13,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.65 : 24,378.81 = 9,707.82 : x
  2. Step 2: Convert to fraction form
    17,665.65/24,378.81 = 9,707.82/x
  3. Step 3: Cross multiply
    17,665.65x = 24,378.81 × 9,707.82
  4. Step 4: Simplify right side
    17,665.65x = 236,665,099.29
  5. Step 5: Solve for x
    x = 236,665,099.29/17,665.65
  6. Step 6: Final answer
    x = 13,396.91

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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.