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Finding the Fourth Proportional to 23,202.63, 34,780.01 and 9,143.64

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Solution

The fourth proportional to 23,202.63, 34,780.01 and 9,143.64 is: 13,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.63 : 34,780.01 = 9,143.64 : x
  2. Step 2: Convert to fraction form
    23,202.63/34,780.01 = 9,143.64/x
  3. Step 3: Cross multiply
    23,202.63x = 34,780.01 × 9,143.64
  4. Step 4: Simplify right side
    23,202.63x = 318,015,844.92
  5. Step 5: Solve for x
    x = 318,015,844.92/23,202.63
  6. Step 6: Final answer
    x = 13,706.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.