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Finding the Fourth Proportional to 23,181.64, 34,772.46 and 10,866.76

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Solution

The fourth proportional to 23,181.64, 34,772.46 and 10,866.76 is: 16,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.64 : 34,772.46 = 10,866.76 : x
  2. Step 2: Convert to fraction form
    23,181.64/34,772.46 = 10,866.76/x
  3. Step 3: Cross multiply
    23,181.64x = 34,772.46 × 10,866.76
  4. Step 4: Simplify right side
    23,181.64x = 377,863,977.43
  5. Step 5: Solve for x
    x = 377,863,977.43/23,181.64
  6. Step 6: Final answer
    x = 16,300.14

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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.