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Finding the Fourth Proportional to 17,723.69, 24,458.50 and 10,066.92

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Solution

The fourth proportional to 17,723.69, 24,458.50 and 10,066.92 is: 13,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.69 : 24,458.50 = 10,066.92 : x
  2. Step 2: Convert to fraction form
    17,723.69/24,458.50 = 10,066.92/x
  3. Step 3: Cross multiply
    17,723.69x = 24,458.50 × 10,066.92
  4. Step 4: Simplify right side
    17,723.69x = 246,221,627.06
  5. Step 5: Solve for x
    x = 246,221,627.06/17,723.69
  6. Step 6: Final answer
    x = 13,892.23

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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.