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Finding the Fourth Proportional to 10,969.20, 16,405.80 and 9,807.60

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Solution

The fourth proportional to 10,969.20, 16,405.80 and 9,807.60 is: 14,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.20 : 16,405.80 = 9,807.60 : x
  2. Step 2: Convert to fraction form
    10,969.20/16,405.80 = 9,807.60/x
  3. Step 3: Cross multiply
    10,969.20x = 16,405.80 × 9,807.60
  4. Step 4: Simplify right side
    10,969.20x = 160,901,524.08
  5. Step 5: Solve for x
    x = 160,901,524.08/10,969.20
  6. Step 6: Final answer
    x = 14,668.48

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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.