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Finding the Fourth Proportional to 13,186.93, 18,197.91 and 7,137.16

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Solution

The fourth proportional to 13,186.93, 18,197.91 and 7,137.16 is: 9,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.93 : 18,197.91 = 7,137.16 : x
  2. Step 2: Convert to fraction form
    13,186.93/18,197.91 = 7,137.16/x
  3. Step 3: Cross multiply
    13,186.93x = 18,197.91 × 7,137.16
  4. Step 4: Simplify right side
    13,186.93x = 129,881,395.34
  5. Step 5: Solve for x
    x = 129,881,395.34/13,186.93
  6. Step 6: Final answer
    x = 9,849.25

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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.