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Finding the Fourth Proportional to 26,563.34, 39,869.62 and 13,424.94

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Solution

The fourth proportional to 26,563.34, 39,869.62 and 13,424.94 is: 20,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563.34 : 39,869.62 = 13,424.94 : x
  2. Step 2: Convert to fraction form
    26,563.34/39,869.62 = 13,424.94/x
  3. Step 3: Cross multiply
    26,563.34x = 39,869.62 × 13,424.94
  4. Step 4: Simplify right side
    26,563.34x = 535,247,222.76
  5. Step 5: Solve for x
    x = 535,247,222.76/26,563.34
  6. Step 6: Final answer
    x = 20,149.84

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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.