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Finding the Fourth Proportional to 23,384.91, 32,269.65 and 12,774.54

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Solution

The fourth proportional to 23,384.91, 32,269.65 and 12,774.54 is: 17,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.91 : 32,269.65 = 12,774.54 : x
  2. Step 2: Convert to fraction form
    23,384.91/32,269.65 = 12,774.54/x
  3. Step 3: Cross multiply
    23,384.91x = 32,269.65 × 12,774.54
  4. Step 4: Simplify right side
    23,384.91x = 412,229,773.36
  5. Step 5: Solve for x
    x = 412,229,773.36/23,384.91
  6. Step 6: Final answer
    x = 17,628.03

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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.