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Finding the Fourth Proportional to 17,163.46, 23,685.76 and 10,090

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Solution

The fourth proportional to 17,163.46, 23,685.76 and 10,090 is: 13,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163.46 : 23,685.76 = 10,090 : x
  2. Step 2: Convert to fraction form
    17,163.46/23,685.76 = 10,090/x
  3. Step 3: Cross multiply
    17,163.46x = 23,685.76 × 10,090
  4. Step 4: Simplify right side
    17,163.46x = 238,989,318.40
  5. Step 5: Solve for x
    x = 238,989,318.40/17,163.46
  6. Step 6: Final answer
    x = 13,924.31

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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.