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Finding the Fourth Proportional to 12,777.67, 19,156.92 and 8,605.97

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Solution

The fourth proportional to 12,777.67, 19,156.92 and 8,605.97 is: 12,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.67 : 19,156.92 = 8,605.97 : x
  2. Step 2: Convert to fraction form
    12,777.67/19,156.92 = 8,605.97/x
  3. Step 3: Cross multiply
    12,777.67x = 19,156.92 × 8,605.97
  4. Step 4: Simplify right side
    12,777.67x = 164,863,878.81
  5. Step 5: Solve for x
    x = 164,863,878.81/12,777.67
  6. Step 6: Final answer
    x = 12,902.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.