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Finding the Fourth Proportional to 17,744.22, 24,476.22 and 10,569.42

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Solution

The fourth proportional to 17,744.22, 24,476.22 and 10,569.42 is: 14,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.22 : 24,476.22 = 10,569.42 : x
  2. Step 2: Convert to fraction form
    17,744.22/24,476.22 = 10,569.42/x
  3. Step 3: Cross multiply
    17,744.22x = 24,476.22 × 10,569.42
  4. Step 4: Simplify right side
    17,744.22x = 258,699,449.19
  5. Step 5: Solve for x
    x = 258,699,449.19/17,744.22
  6. Step 6: Final answer
    x = 14,579.36

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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.