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Finding the Fourth Proportional to 26,543.34, 39,813.67 and 9,902.07

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Solution

The fourth proportional to 26,543.34, 39,813.67 and 9,902.07 is: 14,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.34 : 39,813.67 = 9,902.07 : x
  2. Step 2: Convert to fraction form
    26,543.34/39,813.67 = 9,902.07/x
  3. Step 3: Cross multiply
    26,543.34x = 39,813.67 × 9,902.07
  4. Step 4: Simplify right side
    26,543.34x = 394,237,747.30
  5. Step 5: Solve for x
    x = 394,237,747.30/26,543.34
  6. Step 6: Final answer
    x = 14,852.61

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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.