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Finding the Fourth Proportional to 17,665.63, 24,378.75 and 9,707.65

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Solution

The fourth proportional to 17,665.63, 24,378.75 and 9,707.65 is: 13,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.63 : 24,378.75 = 9,707.65 : x
  2. Step 2: Convert to fraction form
    17,665.63/24,378.75 = 9,707.65/x
  3. Step 3: Cross multiply
    17,665.63x = 24,378.75 × 9,707.65
  4. Step 4: Simplify right side
    17,665.63x = 236,660,372.44
  5. Step 5: Solve for x
    x = 236,660,372.44/17,665.63
  6. Step 6: Final answer
    x = 13,396.66

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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.