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Finding the Fourth Proportional to 26,000.57, 38,968.50 and 12,662.66

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Solution

The fourth proportional to 26,000.57, 38,968.50 and 12,662.66 is: 18,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.57 : 38,968.50 = 12,662.66 : x
  2. Step 2: Convert to fraction form
    26,000.57/38,968.50 = 12,662.66/x
  3. Step 3: Cross multiply
    26,000.57x = 38,968.50 × 12,662.66
  4. Step 4: Simplify right side
    26,000.57x = 493,444,866.21
  5. Step 5: Solve for x
    x = 493,444,866.21/26,000.57
  6. Step 6: Final answer
    x = 18,978.23

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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.