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Finding the Fourth Proportional to 17,714.20, 24,446.28 and 9,756.28

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Solution

The fourth proportional to 17,714.20, 24,446.28 and 9,756.28 is: 13,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.20 : 24,446.28 = 9,756.28 : x
  2. Step 2: Convert to fraction form
    17,714.20/24,446.28 = 9,756.28/x
  3. Step 3: Cross multiply
    17,714.20x = 24,446.28 × 9,756.28
  4. Step 4: Simplify right side
    17,714.20x = 238,504,752.64
  5. Step 5: Solve for x
    x = 238,504,752.64/17,714.20
  6. Step 6: Final answer
    x = 13,464.04

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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.