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Finding the Fourth Proportional to 16,872, 23,282.33 and 10,159.80

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Solution

The fourth proportional to 16,872, 23,282.33 and 10,159.80 is: 14,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872 : 23,282.33 = 10,159.80 : x
  2. Step 2: Convert to fraction form
    16,872/23,282.33 = 10,159.80/x
  3. Step 3: Cross multiply
    16,872x = 23,282.33 × 10,159.80
  4. Step 4: Simplify right side
    16,872x = 236,543,816.33
  5. Step 5: Solve for x
    x = 236,543,816.33/16,872
  6. Step 6: Final answer
    x = 14,019.90

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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.