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Finding the Fourth Proportional to 26,257.68, 39,369.11 and 13,762.62

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Solution

The fourth proportional to 26,257.68, 39,369.11 and 13,762.62 is: 20,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.68 : 39,369.11 = 13,762.62 : x
  2. Step 2: Convert to fraction form
    26,257.68/39,369.11 = 13,762.62/x
  3. Step 3: Cross multiply
    26,257.68x = 39,369.11 × 13,762.62
  4. Step 4: Simplify right side
    26,257.68x = 541,822,031.86
  5. Step 5: Solve for x
    x = 541,822,031.86/26,257.68
  6. Step 6: Final answer
    x = 20,634.80

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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.