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Finding the Fourth Proportional to 26,289.84, 39,437.46 and 8,519.16

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Solution

The fourth proportional to 26,289.84, 39,437.46 and 8,519.16 is: 12,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.84 : 39,437.46 = 8,519.16 : x
  2. Step 2: Convert to fraction form
    26,289.84/39,437.46 = 8,519.16/x
  3. Step 3: Cross multiply
    26,289.84x = 39,437.46 × 8,519.16
  4. Step 4: Simplify right side
    26,289.84x = 335,974,031.73
  5. Step 5: Solve for x
    x = 335,974,031.73/26,289.84
  6. Step 6: Final answer
    x = 12,779.61

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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.