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Finding the Fourth Proportional to 12,747.67, 17,580.11 and 8,438.94

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Solution

The fourth proportional to 12,747.67, 17,580.11 and 8,438.94 is: 11,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.67 : 17,580.11 = 8,438.94 : x
  2. Step 2: Convert to fraction form
    12,747.67/17,580.11 = 8,438.94/x
  3. Step 3: Cross multiply
    12,747.67x = 17,580.11 × 8,438.94
  4. Step 4: Simplify right side
    12,747.67x = 148,357,451.29
  5. Step 5: Solve for x
    x = 148,357,451.29/12,747.67
  6. Step 6: Final answer
    x = 11,638.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.