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Finding the Fourth Proportional to 17,162.12, 23,683.50 and 9,710.12

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Solution

The fourth proportional to 17,162.12, 23,683.50 and 9,710.12 is: 13,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,162.12 : 23,683.50 = 9,710.12 : x
  2. Step 2: Convert to fraction form
    17,162.12/23,683.50 = 9,710.12/x
  3. Step 3: Cross multiply
    17,162.12x = 23,683.50 × 9,710.12
  4. Step 4: Simplify right side
    17,162.12x = 229,969,627.02
  5. Step 5: Solve for x
    x = 229,969,627.02/17,162.12
  6. Step 6: Final answer
    x = 13,399.84

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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.