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Finding the Fourth Proportional to 10,768.80, 16,153.20 and 9,429.60

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Solution

The fourth proportional to 10,768.80, 16,153.20 and 9,429.60 is: 14,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.80 : 16,153.20 = 9,429.60 : x
  2. Step 2: Convert to fraction form
    10,768.80/16,153.20 = 9,429.60/x
  3. Step 3: Cross multiply
    10,768.80x = 16,153.20 × 9,429.60
  4. Step 4: Simplify right side
    10,768.80x = 152,318,214.72
  5. Step 5: Solve for x
    x = 152,318,214.72/10,768.80
  6. Step 6: Final answer
    x = 14,144.40

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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.