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Finding the Fourth Proportional to 17,847.63, 24,629.31 and 10,293.98

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Solution

The fourth proportional to 17,847.63, 24,629.31 and 10,293.98 is: 14,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.63 : 24,629.31 = 10,293.98 : x
  2. Step 2: Convert to fraction form
    17,847.63/24,629.31 = 10,293.98/x
  3. Step 3: Cross multiply
    17,847.63x = 24,629.31 × 10,293.98
  4. Step 4: Simplify right side
    17,847.63x = 253,533,501.41
  5. Step 5: Solve for x
    x = 253,533,501.41/17,847.63
  6. Step 6: Final answer
    x = 14,205.44

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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.