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Finding the Fourth Proportional to 12,711.50, 17,537.67 and 7,673.81

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Solution

The fourth proportional to 12,711.50, 17,537.67 and 7,673.81 is: 10,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.50 : 17,537.67 = 7,673.81 : x
  2. Step 2: Convert to fraction form
    12,711.50/17,537.67 = 7,673.81/x
  3. Step 3: Cross multiply
    12,711.50x = 17,537.67 × 7,673.81
  4. Step 4: Simplify right side
    12,711.50x = 134,580,747.42
  5. Step 5: Solve for x
    x = 134,580,747.42/12,711.50
  6. Step 6: Final answer
    x = 10,587.32

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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.