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Finding the Fourth Proportional to 17,744.94, 24,489.27 and 10,192.50

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Solution

The fourth proportional to 17,744.94, 24,489.27 and 10,192.50 is: 14,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.94 : 24,489.27 = 10,192.50 : x
  2. Step 2: Convert to fraction form
    17,744.94/24,489.27 = 10,192.50/x
  3. Step 3: Cross multiply
    17,744.94x = 24,489.27 × 10,192.50
  4. Step 4: Simplify right side
    17,744.94x = 249,606,884.48
  5. Step 5: Solve for x
    x = 249,606,884.48/17,744.94
  6. Step 6: Final answer
    x = 14,066.37

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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.