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Finding the Fourth Proportional to 16,814.67, 25,237.59 and 8,500.56

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Solution

The fourth proportional to 16,814.67, 25,237.59 and 8,500.56 is: 12,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.67 : 25,237.59 = 8,500.56 : x
  2. Step 2: Convert to fraction form
    16,814.67/25,237.59 = 8,500.56/x
  3. Step 3: Cross multiply
    16,814.67x = 25,237.59 × 8,500.56
  4. Step 4: Simplify right side
    16,814.67x = 214,533,648.05
  5. Step 5: Solve for x
    x = 214,533,648.05/16,814.67
  6. Step 6: Final answer
    x = 12,758.72

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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.