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Finding the Fourth Proportional to 16,839.90, 23,232.42 and 9,762.12

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Solution

The fourth proportional to 16,839.90, 23,232.42 and 9,762.12 is: 13,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839.90 : 23,232.42 = 9,762.12 : x
  2. Step 2: Convert to fraction form
    16,839.90/23,232.42 = 9,762.12/x
  3. Step 3: Cross multiply
    16,839.90x = 23,232.42 × 9,762.12
  4. Step 4: Simplify right side
    16,839.90x = 226,797,671.93
  5. Step 5: Solve for x
    x = 226,797,671.93/16,839.90
  6. Step 6: Final answer
    x = 13,467.88

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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.