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Finding the Fourth Proportional to 16,201.83, 24,293.58 and 6,708.78

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Solution

The fourth proportional to 16,201.83, 24,293.58 and 6,708.78 is: 10,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.83 : 24,293.58 = 6,708.78 : x
  2. Step 2: Convert to fraction form
    16,201.83/24,293.58 = 6,708.78/x
  3. Step 3: Cross multiply
    16,201.83x = 24,293.58 × 6,708.78
  4. Step 4: Simplify right side
    16,201.83x = 162,980,283.63
  5. Step 5: Solve for x
    x = 162,980,283.63/16,201.83
  6. Step 6: Final answer
    x = 10,059.37

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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.