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Finding the Fourth Proportional to 13,484.80, 20,205.60 and 8,545.60

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Solution

The fourth proportional to 13,484.80, 20,205.60 and 8,545.60 is: 12,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.80 : 20,205.60 = 8,545.60 : x
  2. Step 2: Convert to fraction form
    13,484.80/20,205.60 = 8,545.60/x
  3. Step 3: Cross multiply
    13,484.80x = 20,205.60 × 8,545.60
  4. Step 4: Simplify right side
    13,484.80x = 172,668,975.36
  5. Step 5: Solve for x
    x = 172,668,975.36/13,484.80
  6. Step 6: Final answer
    x = 12,804.71

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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.