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Finding the Fourth Proportional to 23,596.54, 32,563.38 and 12,985.90

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Solution

The fourth proportional to 23,596.54, 32,563.38 and 12,985.90 is: 17,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.54 : 32,563.38 = 12,985.90 : x
  2. Step 2: Convert to fraction form
    23,596.54/32,563.38 = 12,985.90/x
  3. Step 3: Cross multiply
    23,596.54x = 32,563.38 × 12,985.90
  4. Step 4: Simplify right side
    23,596.54x = 422,864,796.34
  5. Step 5: Solve for x
    x = 422,864,796.34/23,596.54
  6. Step 6: Final answer
    x = 17,920.63

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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.