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Finding the Fourth Proportional to 17,020, 23,487.84 and 10,396

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Solution

The fourth proportional to 17,020, 23,487.84 and 10,396 is: 14,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,020 : 23,487.84 = 10,396 : x
  2. Step 2: Convert to fraction form
    17,020/23,487.84 = 10,396/x
  3. Step 3: Cross multiply
    17,020x = 23,487.84 × 10,396
  4. Step 4: Simplify right side
    17,020x = 244,179,584.64
  5. Step 5: Solve for x
    x = 244,179,584.64/17,020
  6. Step 6: Final answer
    x = 14,346.63

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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.