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Finding the Fourth Proportional to 13,509.80, 20,264.70 and 9,794.60

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Solution

The fourth proportional to 13,509.80, 20,264.70 and 9,794.60 is: 14,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.80 : 20,264.70 = 9,794.60 : x
  2. Step 2: Convert to fraction form
    13,509.80/20,264.70 = 9,794.60/x
  3. Step 3: Cross multiply
    13,509.80x = 20,264.70 × 9,794.60
  4. Step 4: Simplify right side
    13,509.80x = 198,484,630.62
  5. Step 5: Solve for x
    x = 198,484,630.62/13,509.80
  6. Step 6: Final answer
    x = 14,691.90

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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.