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Finding the Fourth Proportional to 23,423.44, 32,324.52 and 12,813.28

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Solution

The fourth proportional to 23,423.44, 32,324.52 and 12,813.28 is: 17,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.44 : 32,324.52 = 12,813.28 : x
  2. Step 2: Convert to fraction form
    23,423.44/32,324.52 = 12,813.28/x
  3. Step 3: Cross multiply
    23,423.44x = 32,324.52 × 12,813.28
  4. Step 4: Simplify right side
    23,423.44x = 414,183,125.63
  5. Step 5: Solve for x
    x = 414,183,125.63/23,423.44
  6. Step 6: Final answer
    x = 17,682.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.