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Finding the Fourth Proportional to 12,633.86, 17,435.96 and 9,441.60

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Solution

The fourth proportional to 12,633.86, 17,435.96 and 9,441.60 is: 13,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.86 : 17,435.96 = 9,441.60 : x
  2. Step 2: Convert to fraction form
    12,633.86/17,435.96 = 9,441.60/x
  3. Step 3: Cross multiply
    12,633.86x = 17,435.96 × 9,441.60
  4. Step 4: Simplify right side
    12,633.86x = 164,623,359.94
  5. Step 5: Solve for x
    x = 164,623,359.94/12,633.86
  6. Step 6: Final answer
    x = 13,030.33

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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.