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Finding the Fourth Proportional to 12,365.30, 18,544.35 and 6,821.30

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Solution

The fourth proportional to 12,365.30, 18,544.35 and 6,821.30 is: 10,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.30 : 18,544.35 = 6,821.30 : x
  2. Step 2: Convert to fraction form
    12,365.30/18,544.35 = 6,821.30/x
  3. Step 3: Cross multiply
    12,365.30x = 18,544.35 × 6,821.30
  4. Step 4: Simplify right side
    12,365.30x = 126,496,574.66
  5. Step 5: Solve for x
    x = 126,496,574.66/12,365.30
  6. Step 6: Final answer
    x = 10,229.96

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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.