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Finding the Fourth Proportional to 26,546.84, 39,801.68 and 9,902.35

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Solution

The fourth proportional to 26,546.84, 39,801.68 and 9,902.35 is: 14,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.84 : 39,801.68 = 9,902.35 : x
  2. Step 2: Convert to fraction form
    26,546.84/39,801.68 = 9,902.35/x
  3. Step 3: Cross multiply
    26,546.84x = 39,801.68 × 9,902.35
  4. Step 4: Simplify right side
    26,546.84x = 394,130,203.32
  5. Step 5: Solve for x
    x = 394,130,203.32/26,546.84
  6. Step 6: Final answer
    x = 14,846.60

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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.