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Finding the Fourth Proportional to 17,216, 23,754.42 and 10,139.84

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Solution

The fourth proportional to 17,216, 23,754.42 and 10,139.84 is: 13,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216 : 23,754.42 = 10,139.84 : x
  2. Step 2: Convert to fraction form
    17,216/23,754.42 = 10,139.84/x
  3. Step 3: Cross multiply
    17,216x = 23,754.42 × 10,139.84
  4. Step 4: Simplify right side
    17,216x = 240,866,018.09
  5. Step 5: Solve for x
    x = 240,866,018.09/17,216
  6. Step 6: Final answer
    x = 13,990.82

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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.