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Finding the Fourth Proportional to 16,813.62, 23,202.90 and 9,260.70

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Solution

The fourth proportional to 16,813.62, 23,202.90 and 9,260.70 is: 12,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.62 : 23,202.90 = 9,260.70 : x
  2. Step 2: Convert to fraction form
    16,813.62/23,202.90 = 9,260.70/x
  3. Step 3: Cross multiply
    16,813.62x = 23,202.90 × 9,260.70
  4. Step 4: Simplify right side
    16,813.62x = 214,875,096.03
  5. Step 5: Solve for x
    x = 214,875,096.03/16,813.62
  6. Step 6: Final answer
    x = 12,779.82

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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.