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Finding the Fourth Proportional to 13,142.17, 18,135.68 and 7,173.83

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Solution

The fourth proportional to 13,142.17, 18,135.68 and 7,173.83 is: 9,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.17 : 18,135.68 = 7,173.83 : x
  2. Step 2: Convert to fraction form
    13,142.17/18,135.68 = 7,173.83/x
  3. Step 3: Cross multiply
    13,142.17x = 18,135.68 × 7,173.83
  4. Step 4: Simplify right side
    13,142.17x = 130,102,335.08
  5. Step 5: Solve for x
    x = 130,102,335.08/13,142.17
  6. Step 6: Final answer
    x = 9,899.61

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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.