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Finding the Fourth Proportional to 17,744.29, 24,486.30 and 10,185.30

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Solution

The fourth proportional to 17,744.29, 24,486.30 and 10,185.30 is: 14,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.29 : 24,486.30 = 10,185.30 : x
  2. Step 2: Convert to fraction form
    17,744.29/24,486.30 = 10,185.30/x
  3. Step 3: Cross multiply
    17,744.29x = 24,486.30 × 10,185.30
  4. Step 4: Simplify right side
    17,744.29x = 249,400,311.39
  5. Step 5: Solve for x
    x = 249,400,311.39/17,744.29
  6. Step 6: Final answer
    x = 14,055.25

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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.