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Finding the Fourth Proportional to 11,153.94, 16,704.50 and 9,685.10

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Solution

The fourth proportional to 11,153.94, 16,704.50 and 9,685.10 is: 14,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.94 : 16,704.50 = 9,685.10 : x
  2. Step 2: Convert to fraction form
    11,153.94/16,704.50 = 9,685.10/x
  3. Step 3: Cross multiply
    11,153.94x = 16,704.50 × 9,685.10
  4. Step 4: Simplify right side
    11,153.94x = 161,784,752.95
  5. Step 5: Solve for x
    x = 161,784,752.95/11,153.94
  6. Step 6: Final answer
    x = 14,504.72

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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.