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Finding the Fourth Proportional to 17,120.64, 23,624 and 10,045.44

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Solution

The fourth proportional to 17,120.64, 23,624 and 10,045.44 is: 13,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.64 : 23,624 = 10,045.44 : x
  2. Step 2: Convert to fraction form
    17,120.64/23,624 = 10,045.44/x
  3. Step 3: Cross multiply
    17,120.64x = 23,624 × 10,045.44
  4. Step 4: Simplify right side
    17,120.64x = 237,313,474.56
  5. Step 5: Solve for x
    x = 237,313,474.56/17,120.64
  6. Step 6: Final answer
    x = 13,861.25

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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.