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Finding the Fourth Proportional to 26,158, 39,237.36 and 14,494

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Solution

The fourth proportional to 26,158, 39,237.36 and 14,494 is: 21,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158 : 39,237.36 = 14,494 : x
  2. Step 2: Convert to fraction form
    26,158/39,237.36 = 14,494/x
  3. Step 3: Cross multiply
    26,158x = 39,237.36 × 14,494
  4. Step 4: Simplify right side
    26,158x = 568,706,295.84
  5. Step 5: Solve for x
    x = 568,706,295.84/26,158
  6. Step 6: Final answer
    x = 21,741.20

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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.