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Finding the Fourth Proportional to 14,563.67, 20,104.16 and 9,190.94

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Solution

The fourth proportional to 14,563.67, 20,104.16 and 9,190.94 is: 12,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.67 : 20,104.16 = 9,190.94 : x
  2. Step 2: Convert to fraction form
    14,563.67/20,104.16 = 9,190.94/x
  3. Step 3: Cross multiply
    14,563.67x = 20,104.16 × 9,190.94
  4. Step 4: Simplify right side
    14,563.67x = 184,775,981.83
  5. Step 5: Solve for x
    x = 184,775,981.83/14,563.67
  6. Step 6: Final answer
    x = 12,687.46

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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.