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Finding the Fourth Proportional to 17,941.20, 24,758.64 and 10,489.20

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Solution

The fourth proportional to 17,941.20, 24,758.64 and 10,489.20 is: 14,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,941.20 : 24,758.64 = 10,489.20 : x
  2. Step 2: Convert to fraction form
    17,941.20/24,758.64 = 10,489.20/x
  3. Step 3: Cross multiply
    17,941.20x = 24,758.64 × 10,489.20
  4. Step 4: Simplify right side
    17,941.20x = 259,698,326.69
  5. Step 5: Solve for x
    x = 259,698,326.69/17,941.20
  6. Step 6: Final answer
    x = 14,474.97

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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.