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Finding the Fourth Proportional to 17,186.16, 23,716.46 and 10,113

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Solution

The fourth proportional to 17,186.16, 23,716.46 and 10,113 is: 13,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.16 : 23,716.46 = 10,113 : x
  2. Step 2: Convert to fraction form
    17,186.16/23,716.46 = 10,113/x
  3. Step 3: Cross multiply
    17,186.16x = 23,716.46 × 10,113
  4. Step 4: Simplify right side
    17,186.16x = 239,844,559.98
  5. Step 5: Solve for x
    x = 239,844,559.98/17,186.16
  6. Step 6: Final answer
    x = 13,955.68

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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.