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Finding the Fourth Proportional to 17,921.13, 24,730.46 and 9,962.78

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Solution

The fourth proportional to 17,921.13, 24,730.46 and 9,962.78 is: 13,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.13 : 24,730.46 = 9,962.78 : x
  2. Step 2: Convert to fraction form
    17,921.13/24,730.46 = 9,962.78/x
  3. Step 3: Cross multiply
    17,921.13x = 24,730.46 × 9,962.78
  4. Step 4: Simplify right side
    17,921.13x = 246,383,958.81
  5. Step 5: Solve for x
    x = 246,383,958.81/17,921.13
  6. Step 6: Final answer
    x = 13,748.24

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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.