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Finding the Fourth Proportional to 16,843.40, 23,237.25 and 9,765.62

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Solution

The fourth proportional to 16,843.40, 23,237.25 and 9,765.62 is: 13,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.40 : 23,237.25 = 9,765.62 : x
  2. Step 2: Convert to fraction form
    16,843.40/23,237.25 = 9,765.62/x
  3. Step 3: Cross multiply
    16,843.40x = 23,237.25 × 9,765.62
  4. Step 4: Simplify right side
    16,843.40x = 226,926,153.35
  5. Step 5: Solve for x
    x = 226,926,153.35/16,843.40
  6. Step 6: Final answer
    x = 13,472.70

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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.