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Finding the Fourth Proportional to 12,772.63, 19,176.87 and 6,537.12

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Solution

The fourth proportional to 12,772.63, 19,176.87 and 6,537.12 is: 9,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.63 : 19,176.87 = 6,537.12 : x
  2. Step 2: Convert to fraction form
    12,772.63/19,176.87 = 6,537.12/x
  3. Step 3: Cross multiply
    12,772.63x = 19,176.87 × 6,537.12
  4. Step 4: Simplify right side
    12,772.63x = 125,361,500.41
  5. Step 5: Solve for x
    x = 125,361,500.41/12,772.63
  6. Step 6: Final answer
    x = 9,814.85

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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.