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Finding the Fourth Proportional to 17,629.94, 24,329.22 and 9,671.96

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Solution

The fourth proportional to 17,629.94, 24,329.22 and 9,671.96 is: 13,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,629.94 : 24,329.22 = 9,671.96 : x
  2. Step 2: Convert to fraction form
    17,629.94/24,329.22 = 9,671.96/x
  3. Step 3: Cross multiply
    17,629.94x = 24,329.22 × 9,671.96
  4. Step 4: Simplify right side
    17,629.94x = 235,311,242.67
  5. Step 5: Solve for x
    x = 235,311,242.67/17,629.94
  6. Step 6: Final answer
    x = 13,347.25

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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.