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Finding the Fourth Proportional to 17,189.16, 23,720.58 and 10,116

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Solution

The fourth proportional to 17,189.16, 23,720.58 and 10,116 is: 13,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.16 : 23,720.58 = 10,116 : x
  2. Step 2: Convert to fraction form
    17,189.16/23,720.58 = 10,116/x
  3. Step 3: Cross multiply
    17,189.16x = 23,720.58 × 10,116
  4. Step 4: Simplify right side
    17,189.16x = 239,957,387.28
  5. Step 5: Solve for x
    x = 239,957,387.28/17,189.16
  6. Step 6: Final answer
    x = 13,959.81

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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.