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Finding the Fourth Proportional to 12,813.83, 17,683.17 and 7,508.69

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Solution

The fourth proportional to 12,813.83, 17,683.17 and 7,508.69 is: 10,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.83 : 17,683.17 = 7,508.69 : x
  2. Step 2: Convert to fraction form
    12,813.83/17,683.17 = 7,508.69/x
  3. Step 3: Cross multiply
    12,813.83x = 17,683.17 × 7,508.69
  4. Step 4: Simplify right side
    12,813.83x = 132,777,441.75
  5. Step 5: Solve for x
    x = 132,777,441.75/12,813.83
  6. Step 6: Final answer
    x = 10,362.04

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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.