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Finding the Fourth Proportional to 13,186.29, 18,196.94 and 7,520.89

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Solution

The fourth proportional to 13,186.29, 18,196.94 and 7,520.89 is: 10,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.29 : 18,196.94 = 7,520.89 : x
  2. Step 2: Convert to fraction form
    13,186.29/18,196.94 = 7,520.89/x
  3. Step 3: Cross multiply
    13,186.29x = 18,196.94 × 7,520.89
  4. Step 4: Simplify right side
    13,186.29x = 136,857,184.08
  5. Step 5: Solve for x
    x = 136,857,184.08/13,186.29
  6. Step 6: Final answer
    x = 10,378.75

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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.