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Finding the Fourth Proportional to 12,912.59, 17,813.85 and 9,563.24

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Solution

The fourth proportional to 12,912.59, 17,813.85 and 9,563.24 is: 13,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.59 : 17,813.85 = 9,563.24 : x
  2. Step 2: Convert to fraction form
    12,912.59/17,813.85 = 9,563.24/x
  3. Step 3: Cross multiply
    12,912.59x = 17,813.85 × 9,563.24
  4. Step 4: Simplify right side
    12,912.59x = 170,358,122.87
  5. Step 5: Solve for x
    x = 170,358,122.87/12,912.59
  6. Step 6: Final answer
    x = 13,193.18

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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.