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Finding the Fourth Proportional to 11,671.86, 17,482.07 and 9,647.57

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Solution

The fourth proportional to 11,671.86, 17,482.07 and 9,647.57 is: 14,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.86 : 17,482.07 = 9,647.57 : x
  2. Step 2: Convert to fraction form
    11,671.86/17,482.07 = 9,647.57/x
  3. Step 3: Cross multiply
    11,671.86x = 17,482.07 × 9,647.57
  4. Step 4: Simplify right side
    11,671.86x = 168,659,426.25
  5. Step 5: Solve for x
    x = 168,659,426.25/11,671.86
  6. Step 6: Final answer
    x = 14,450.09

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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.