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Finding the Fourth Proportional to 17,665.23, 24,378.12 and 9,707.52

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Solution

The fourth proportional to 17,665.23, 24,378.12 and 9,707.52 is: 13,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.23 : 24,378.12 = 9,707.52 : x
  2. Step 2: Convert to fraction form
    17,665.23/24,378.12 = 9,707.52/x
  3. Step 3: Cross multiply
    17,665.23x = 24,378.12 × 9,707.52
  4. Step 4: Simplify right side
    17,665.23x = 236,651,087.46
  5. Step 5: Solve for x
    x = 236,651,087.46/17,665.23
  6. Step 6: Final answer
    x = 13,396.43

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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.