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Finding the Fourth Proportional to 26,546.58, 39,826.53 and 9,907.14

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Solution

The fourth proportional to 26,546.58, 39,826.53 and 9,907.14 is: 14,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.58 : 39,826.53 = 9,907.14 : x
  2. Step 2: Convert to fraction form
    26,546.58/39,826.53 = 9,907.14/x
  3. Step 3: Cross multiply
    26,546.58x = 39,826.53 × 9,907.14
  4. Step 4: Simplify right side
    26,546.58x = 394,567,008.42
  5. Step 5: Solve for x
    x = 394,567,008.42/26,546.58
  6. Step 6: Final answer
    x = 14,863.20

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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.