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Finding the Fourth Proportional to 26,205.50, 39,330.12 and 12,354.50

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Solution

The fourth proportional to 26,205.50, 39,330.12 and 12,354.50 is: 18,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.50 : 39,330.12 = 12,354.50 : x
  2. Step 2: Convert to fraction form
    26,205.50/39,330.12 = 12,354.50/x
  3. Step 3: Cross multiply
    26,205.50x = 39,330.12 × 12,354.50
  4. Step 4: Simplify right side
    26,205.50x = 485,903,967.54
  5. Step 5: Solve for x
    x = 485,903,967.54/26,205.50
  6. Step 6: Final answer
    x = 18,542.06

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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.