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Finding the Fourth Proportional to 17,668.12, 24,382.08 and 9,710.14

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Solution

The fourth proportional to 17,668.12, 24,382.08 and 9,710.14 is: 13,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.12 : 24,382.08 = 9,710.14 : x
  2. Step 2: Convert to fraction form
    17,668.12/24,382.08 = 9,710.14/x
  3. Step 3: Cross multiply
    17,668.12x = 24,382.08 × 9,710.14
  4. Step 4: Simplify right side
    17,668.12x = 236,753,410.29
  5. Step 5: Solve for x
    x = 236,753,410.29/17,668.12
  6. Step 6: Final answer
    x = 13,400.03

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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.