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Finding the Fourth Proportional to 26,157.94, 39,237.94 and 13,669.49

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Solution

The fourth proportional to 26,157.94, 39,237.94 and 13,669.49 is: 20,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,157.94 : 39,237.94 = 13,669.49 : x
  2. Step 2: Convert to fraction form
    26,157.94/39,237.94 = 13,669.49/x
  3. Step 3: Cross multiply
    26,157.94x = 39,237.94 × 13,669.49
  4. Step 4: Simplify right side
    26,157.94x = 536,362,432.26
  5. Step 5: Solve for x
    x = 536,362,432.26/26,157.94
  6. Step 6: Final answer
    x = 20,504.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.