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Finding the Fourth Proportional to 14,544.40, 21,823.80 and 8,309.20

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Solution

The fourth proportional to 14,544.40, 21,823.80 and 8,309.20 is: 12,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.40 : 21,823.80 = 8,309.20 : x
  2. Step 2: Convert to fraction form
    14,544.40/21,823.80 = 8,309.20/x
  3. Step 3: Cross multiply
    14,544.40x = 21,823.80 × 8,309.20
  4. Step 4: Simplify right side
    14,544.40x = 181,338,318.96
  5. Step 5: Solve for x
    x = 181,338,318.96/14,544.40
  6. Step 6: Final answer
    x = 12,467.91

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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.