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Finding the Fourth Proportional to 17,288.16, 23,858.16 and 10,214.88

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Solution

The fourth proportional to 17,288.16, 23,858.16 and 10,214.88 is: 14,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.16 : 23,858.16 = 10,214.88 : x
  2. Step 2: Convert to fraction form
    17,288.16/23,858.16 = 10,214.88/x
  3. Step 3: Cross multiply
    17,288.16x = 23,858.16 × 10,214.88
  4. Step 4: Simplify right side
    17,288.16x = 243,708,241.42
  5. Step 5: Solve for x
    x = 243,708,241.42/17,288.16
  6. Step 6: Final answer
    x = 14,096.83

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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.