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Finding the Fourth Proportional to 26,167.50, 36,114.42 and 14,989.50

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Solution

The fourth proportional to 26,167.50, 36,114.42 and 14,989.50 is: 20,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,167.50 : 36,114.42 = 14,989.50 : x
  2. Step 2: Convert to fraction form
    26,167.50/36,114.42 = 14,989.50/x
  3. Step 3: Cross multiply
    26,167.50x = 36,114.42 × 14,989.50
  4. Step 4: Simplify right side
    26,167.50x = 541,337,098.59
  5. Step 5: Solve for x
    x = 541,337,098.59/26,167.50
  6. Step 6: Final answer
    x = 20,687.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.