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Finding the Fourth Proportional to 13,103.10, 18,083.52 and 8,070.27

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Solution

The fourth proportional to 13,103.10, 18,083.52 and 8,070.27 is: 11,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.10 : 18,083.52 = 8,070.27 : x
  2. Step 2: Convert to fraction form
    13,103.10/18,083.52 = 8,070.27/x
  3. Step 3: Cross multiply
    13,103.10x = 18,083.52 × 8,070.27
  4. Step 4: Simplify right side
    13,103.10x = 145,938,821.14
  5. Step 5: Solve for x
    x = 145,938,821.14/13,103.10
  6. Step 6: Final answer
    x = 11,137.73

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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.