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Finding the Fourth Proportional to 12,834.90, 17,702.69 and 8,114.63

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Solution

The fourth proportional to 12,834.90, 17,702.69 and 8,114.63 is: 11,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.90 : 17,702.69 = 8,114.63 : x
  2. Step 2: Convert to fraction form
    12,834.90/17,702.69 = 8,114.63/x
  3. Step 3: Cross multiply
    12,834.90x = 17,702.69 × 8,114.63
  4. Step 4: Simplify right side
    12,834.90x = 143,650,650.27
  5. Step 5: Solve for x
    x = 143,650,650.27/12,834.90
  6. Step 6: Final answer
    x = 11,192.19

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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.